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    <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt; font-weight: bold;">UNITED STATES</div>

    <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt; font-weight: bold;">SECURITIES AND EXCHANGE COMMISSION</div>

    <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt; font-weight: bold;">Washington, D.C.&#160;&#160; 20549</div>

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    <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">CURRENT REPORT</div>

    <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Pursuant to Section 13 or 15(d) of The Securities Exchange Act of 1934</div>

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    <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Date of Report (Date of earliest event reported)</div>

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    <div style="text-align: center; margin-bottom: 18pt; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">(Exact name of registrant as specified in its charter)</div>

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            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">(IRS Employer</div>
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Identification No.)</div>
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            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">(Address of principal executive offices)</div>
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            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">(Zip Code)</div>
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    <div style="text-align: center; margin-top: 12pt; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Registrant&#8217;s telephone number, including area code</div>

    <div style="text-align: center; margin-bottom: 12pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">(<ix:nonNumeric name="dei:CityAreaCode" id="Fact_a0a0c18ed5834892aabb8f55ba5af84b" contextRef="c20210304to20210304">972</ix:nonNumeric>)
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    <td style="width: 23.65%; vertical-align: top;">&#160;</td>

    <td style="width: 52.68%; vertical-align: top; border-bottom: #000000 2px solid;">&#160;</td>

    <td style="width: 23.66%; vertical-align: top;">&#160;</td>

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    <td style="width: 23.65%; vertical-align: top;">&#160;</td>

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            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">(Former name or former address, if changed since last report.)</div>
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    <td style="width: 23.66%; vertical-align: top;">&#160;</td>

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    <div style="text-align: justify; margin-top: 18pt; margin-bottom: 12pt; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Check the appropriate box below if the Form 8-K filing is intended to simultaneously satisfy the filing obligation
      of the registrant under any of the following provisions (see General Instruction A.2):</div>

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    <td style="width: 6.87%; vertical-align: top;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 14pt;"><ix:nonNumeric name="dei:WrittenCommunications" id="Fact_37a8145e36fd469c8ce6fd03f05af472" contextRef="c20210304to20210304" format="ixt-sec:boolballotbox">&#x2610;</ix:nonNumeric><br />
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    <td style="width: 93.13%; vertical-align: middle;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Written communications pursuant to Rule 425 under the Securities Act (17 CFR 230.425)</div>
          </td>

  </tr>

  <tr>

    <td style="width: 6.87%; vertical-align: top;">&#160;</td>

    <td style="width: 93.13%; vertical-align: middle;">&#160;</td>

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    <td style="width: 6.87%; vertical-align: top;">
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    <td style="width: 93.13%; vertical-align: middle;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Soliciting material pursuant to Rule 14a-12 under the Exchange Act (17 CFR 240.14a-12)</div>
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  </tr>

  <tr>

    <td style="width: 6.87%; vertical-align: top;">&#160;</td>

    <td style="width: 93.13%; vertical-align: middle;">&#160;</td>

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    <td style="width: 6.87%; vertical-align: top;">
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    <td style="width: 93.13%; vertical-align: middle;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Pre-commencement communications pursuant to Rule 14d-2(b) under the Exchange Act (17 CFR 240.14d-2(b))</div>
          </td>

  </tr>

  <tr>

    <td style="width: 6.87%; vertical-align: top;">&#160;</td>

    <td style="width: 93.13%; vertical-align: middle;">&#160;</td>

  </tr>

  <tr>

    <td style="width: 6.87%; vertical-align: top;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 14pt;">&#9723;</div>
          </td>

    <td style="width: 93.13%; vertical-align: middle;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Pre-commencement communications pursuant to Rule 13e-4(c) under the Exchange Act (17 CFR 240.13e-4(c))</div>
          </td>

  </tr>


</table>
    <div style="text-align: justify; margin-top: 12pt; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Securities registered pursuant to Section 12(b) of the Act:</div>

    <div><br />
    </div>

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    <td style="width: 37.99%; vertical-align: bottom; border-bottom: #000000 2px solid;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 8pt; font-weight: bold;">Title of each class</div>
          </td>

    <td style="width: 1%; vertical-align: bottom;">&#160;</td>

    <td style="width: 15%; vertical-align: bottom; border-bottom: #000000 2px solid;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 8pt; font-weight: bold;">Trading</div>
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 8pt; font-weight: bold;">Symbol(s)</div>
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    <td style="width: 1%; vertical-align: bottom;">&#160;</td>

    <td style="width: 45%; vertical-align: bottom; border-bottom: #000000 2px solid;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 8pt; font-weight: bold;">Name of each exchange on which registered</div>
          </td>

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            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 8pt;"><ix:nonNumeric name="dei:Security12bTitle" id="Fact_49d9bfca6e974728881893c3976a93c3" contextRef="c20210304to20210304">Common Stock</ix:nonNumeric><br />
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    <td style="width: 1%; vertical-align: bottom;">&#160;</td>

    <td style="width: 15%; vertical-align: bottom;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 8pt;"><ix:nonNumeric name="dei:TradingSymbol" id="Fact_f674b09738b94822bbea8f6d0afecd0a" contextRef="c20210304to20210304">VHI</ix:nonNumeric><br />
            </div>
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    <td style="width: 1%; vertical-align: bottom;">&#160;</td>

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            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 8pt;"><ix:nonNumeric name="dei:SecurityExchangeName" id="Fact_6958709dac8c45e9a9682e556d478409" contextRef="c20210304to20210304">NYSE</ix:nonNumeric><br />
            </div>
          </td>

  </tr>


</table>
    <div>
      <div><br />
      </div>

      <div style="text-align: left; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Indicate by check mark whether the registrant is an emerging growth company as defined in Rule 405 of the Securities Act of 1933 (17&#160;CFR &#167;230.405) or Rule
        12b-2 of the Securities Exchange Act of 1934 (17 CFR &#167;240.12b-2).</div>

    </div>

    <div>
      <div><br />
      </div>

      <div style="text-align: right; margin-top: 6pt; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Emerging growth company&#160; <ix:nonNumeric name="dei:PreCommencementIssuerTenderOffer" id="Fact_e099e87a875742fbbb10cc262350f09a" contextRef="c20210304to20210304" format="ixt-sec:boolballotbox">&#x2610;</ix:nonNumeric><span style="font-size: 10pt; font-family: 'Times New Roman', Times, serif;"></span></div>

    </div>

    <div>
      <div><br />
      </div>

      <div style="text-align: left; margin-top: 6pt; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">If an emerging growth company, indicate by check mark if the registrant has elected not to use the extended transition period for complying
        with any new or revised financial accounting standards provided pursuant to Section&#160;13(a) of the Exchange Act.&#160; <ix:nonNumeric name="dei:EntityEmergingGrowthCompany" id="Fact_d4dc33e57fb44b6f9cd4e6d977a3d1f4" contextRef="c20210304to20210304" format="ixt-sec:boolballotbox">&#x2610;</ix:nonNumeric><span style="font-size: 10pt; font-family: 'Times New Roman', Times, serif;"></span></div>

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    <div style="clear: both; margin-top: 10pt; margin-bottom: 10pt;">
      <div style="page-break-after:always;">
        <hr style="margin: 4px 0px; width: 100%; border-width: 0; height: 2px; color: #000000; background-color: #000000; clear: both;" /></div>

    </div>

    <div style="text-align: justify; text-indent: -72pt; margin-left: 72pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Item 3.03&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160;Material Modification to Rights of Security Holders.</div>

    <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">&#160;</div>

    <div style="text-align: justify; text-indent: 36pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">To the extent required by Item 3.03 of Form&#160;8-K, the information contained in Item 5.03 of this Form&#160;8-K is incorporated herein by
      reference.</div>

    <div><br />
    </div>

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  <tr>

    <td style="width: 72pt; vertical-align: top; align: right; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Item 5.03</td>

    <td style="width: auto; vertical-align: top; text-align: justify;">
            <div style="font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Amendments to Articles of Incorporation or Bylaws; Change in Fiscal Year</div>
          </td>

  </tr>


</table>
    <div><br />
    </div>

    <div style="text-align: justify; text-indent: 36pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">At its meeting on March 4, 2021, the registrant&#8217;s board of directors, pursuant to Article VI of the registrant&#8217;s third amended and
      restated certificate of incorporation, amended and restated the registrant&#8217;s bylaws effective March 4, 2021.&#160; The approved amendments added a new Article X with forum selection provisions. Pursuant to the new provisions, unless the registrant
      consents in writing to selection of an alternative forum:</div>

    <div><br />
    </div>

    <div>
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    <td style="width: 72pt; vertical-align: top; align: right;">
              <div style="text-align: left; margin-left: 54pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">&#8226;</div>
            </td>

    <td style="width: auto; vertical-align: top;">
              <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">the Court of Chancery of the State of Delaware (or, if such court does not have subject matter jurisdiction, the federal district court of the
                State of Delaware) shall be the sole and exclusive forum for (i) any derivative action or proceeding brought on behalf of the registrant, (ii) any action asserting a claim for or based on a breach of a fiduciary duty owed by any current or
                former director, officer, other employee, agent or stockholder of the registrant to the registrant or the registrant&#8217;s stockholders, (iii) any action asserting a claim against the registrant or any current or former director, officer,
                employee, agent or stockholder of the registrant arising pursuant to any provision of the Delaware General Corporation Law (&#8220;DGCL&#8221;) or the certificate of incorporation or bylaws or as to which the DGCL confers jurisdiction on the Court of
                Chancery of the State of Delaware, or (iv) any action asserting a claim related to or involving the registrant that is governed by the internal affairs doctrine.</div>
            </td>

  </tr>


</table>
    </div>

    <div><br />
    </div>

    <div>
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    <td style="width: 72pt; vertical-align: top; align: right;">
              <div style="text-align: left; margin-left: 54pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">&#8226;</div>
            </td>

    <td style="width: auto; vertical-align: top;">
              <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">the federal district courts of the United States of America shall, to the fullest extent permitted by law, be the sole and exclusive forum for
                the resolution of any complaint asserting a cause of action arising under the Securities Act of 1933, as amended, and the rules and regulations promulgated thereunder.</div>
            </td>

  </tr>


</table>
    </div>

    <div><br />
    </div>

    <div style="text-align: justify; text-indent: 36pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">The foregoing description does not purport to be complete and is qualified in its entirety by reference to the complete text of the
      registrant&#8217;s bylaws as amended and restated on March 4, 2021, which are filed as Exhibit 3.1 to this current report.</div>

    <div><br />
    </div>

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  <tr>

    <td style="width: 72pt; vertical-align: top; align: right; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Item 7.01</td>

    <td style="width: auto; vertical-align: top; text-align: justify;">
            <div style="font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Regulation FD Disclosure.</div>
          </td>

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</table>
    <div><br />
    </div>

    <div style="text-align: justify; text-indent: 36pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">The registrant also hereby furnishes the information set forth in its press release issued on March 4, 2021, a copy of which is attached
      hereto as Exhibit 99.1 and incorporated herein by reference.</div>

    <div><br />
    </div>

    <div style="text-align: justify; text-indent: 36pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">The information, including exhibit 99.1, the registrant furnishes in this current report under this Item 7.01 is not deemed &#8220;filed&#8221; for
      purposes of section 18 of the Securities Exchange Act of 1934, as amended, or otherwise subject to the liabilities of that section.&#160; Registration statements or other documents filed with the U.S. Securities and Exchange Commission shall not
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    <div><br />
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    <td style="width: 72pt; vertical-align: top; align: right; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Item 9.01</td>

    <td style="width: auto; vertical-align: top; text-align: justify;">
            <div style="font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Financial Statements and Exhibits.</div>
          </td>

  </tr>


</table>
    <div><br />
    </div>

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  <tr>

    <td style="width: 5.94%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">(d)</div>
          </td>

    <td style="width: 20.01%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">Exhibits</div>
          </td>

    <td style="width: 2.86%; vertical-align: top;">&#160;</td>

    <td style="width: 71.19%; vertical-align: top;">&#160;</td>

  </tr>

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    <td style="width: 5.94%; vertical-align: top;">&#160;</td>

    <td style="width: 20.01%; vertical-align: top;">&#160;</td>

    <td style="width: 2.86%; vertical-align: top;">&#160;</td>

    <td style="width: 71.19%; vertical-align: top;">&#160;</td>

  </tr>

  <tr>

    <td style="width: 5.94%; vertical-align: top;">&#160;</td>

    <td style="width: 20.01%; vertical-align: top; border-bottom: 2px solid #000000;">
            <div>
              <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Item No.</div>
            </div>
          </td>

    <td style="width: 2.86%; vertical-align: top;">&#160;</td>

    <td style="width: 71.19%; vertical-align: top; border-bottom: 2px solid #000000;">
            <div>
              <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Exhibit Index</div>
            </div>
          </td>

  </tr>

  <tr>

    <td style="width: 5.94%; vertical-align: top;">&#160;</td>

    <td style="width: 20.01%; vertical-align: top;">&#160;</td>

    <td style="width: 2.86%; vertical-align: top;">&#160;</td>

    <td style="width: 71.19%; vertical-align: top;">&#160;</td>

  </tr>

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    <td style="width: 5.94%; vertical-align: top;">&#160;</td>

    <td style="width: 20.01%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">3.1*</div>
          </td>

    <td style="width: 2.86%; vertical-align: top;">&#160;</td>

    <td style="width: 71.19%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;"><a href="exh31.htm">Bylaws of Valhi, Inc. (Amended
                and Restated as of March 4, 2021)</a>.</div>
          </td>

  </tr>

  <tr>

    <td style="width: 5.94%; vertical-align: top;">&#160;</td>

    <td style="width: 20.01%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">99.1*</div>
          </td>

    <td style="width: 2.86%; vertical-align: top;">&#160;</td>

    <td style="width: 71.19%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;"><a href="exh991.htm">Press release dated March 4,
                2021 issued by the registrant</a>.</div>
          </td>

  </tr>

  <tr>

    <td style="width: 5.94%; vertical-align: top;">&#160;</td>

    <td style="width: 20.01%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">104</div>
          </td>

    <td style="width: 2.86%; vertical-align: top;">&#160;</td>

    <td style="width: 71.19%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">Cover Page Interactive Data File (embedded within the Inline XBRL document)</div>
          </td>

  </tr>

  <tr>

    <td style="width: 5.94%; vertical-align: top; border-bottom: #000000 2px solid;">&#160;</td>

    <td style="width: 20.01%; vertical-align: top; border-bottom: #000000 2px solid;">&#160;</td>

    <td style="width: 2.86%; vertical-align: top;">&#160;</td>

    <td style="width: 71.19%; vertical-align: top;">&#160;</td>

  </tr>

  <tr>

    <td style="width: 5.94%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">*</div>
          </td>

    <td style="width: 20.01%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">Filed herewith</div>
          </td>

    <td style="width: 2.86%; vertical-align: top;">&#160;</td>

    <td style="width: 71.19%; vertical-align: top;">&#160;</td>

  </tr>


</table>
    <div><br />
    </div>

    <div><br />
    </div>

    <div style="clear: both; margin-top: 10pt; margin-bottom: 10pt;">
      <div style="page-break-after:always;">
        <hr style="margin: 4px 0px; width: 100%; border-width: 0; height: 2px; color: #000000; background-color: #000000; clear: both;" /></div>

    </div>

    <div><br />
    </div>

    <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">SIGNATURE</div>

    <div><br />
    </div>

    <div><br />
    </div>

    <div style="text-align: justify; text-indent: 36pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">Pursuant to the requirements of the Securities Exchange Act of 1934, the registrant has duly caused this report to be signed on its
      behalf by the undersigned hereunto duly authorized.</div>

    <div><br />
    </div>

    <table cellspacing="0" cellpadding="0" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;" id="z478b00ea9d474f678218d3ecee2840f1">


  <tr>

    <td style="width: 49.6%; vertical-align: top;">&#160;</td>

    <td style="width: 50.4%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-variant: small-caps; font-weight: bold;">Valhi, Inc.</div>
          </td>

  </tr>

  <tr>

    <td style="width: 49.6%; vertical-align: top;">&#160;</td>

    <td style="width: 50.4%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">(Registrant)</div>
          </td>

  </tr>

  <tr>

    <td style="width: 49.6%; vertical-align: top;">&#160;</td>

    <td style="width: 50.4%; vertical-align: top;">&#160;</td>

  </tr>

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    <td style="width: 49.6%; vertical-align: top;">&#160;</td>

    <td style="width: 50.4%; vertical-align: top;">&#160;</td>

  </tr>

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    <td style="width: 49.6%; vertical-align: top;">&#160;</td>

    <td style="width: 50.4%; vertical-align: top;">&#160;</td>

  </tr>

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    <td style="width: 49.6%; vertical-align: top;">&#160;</td>

    <td style="width: 50.4%; vertical-align: top;">&#160;</td>

  </tr>

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    <td style="width: 49.6%; vertical-align: top;">&#160;</td>

    <td style="width: 50.4%; vertical-align: top;">&#160;</td>

  </tr>

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    <td style="width: 49.6%; vertical-align: top;">&#160;</td>

    <td style="width: 50.4%; vertical-align: top; border-bottom: 2px solid black;">
            <div style="text-align: justify;"><span style="font-size: 12pt; font-family: 'Times New Roman', Times, serif;">By:</span><span style="display: inline-block; text-indent: 0px; font-size: 1px; width: 26.1pt">&#160;</span><span style="font-size: 12pt; font-family: 'Times New Roman', Times, serif;"><span style="font-size: 12pt; font-family: 'Times New Roman', Times, serif;">/s/ Jane Grimm</span><span style="display: inline-block; text-indent: 0px; font-size: 1px; width: 12pt">&#160;</span></span></div>
          </td>

  </tr>

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    <td style="width: 49.6%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">Date:&#160; March 4, 2021</div>
          </td>

    <td style="width: 50.4%; vertical-align: top;">
            <div style="text-align: justify; margin-left: 26.1pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-style: italic;">Jane Grimm, Vice President and Secretary</div>
          </td>

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    <div><br />
    </div>

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UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, D.C.   20549
FORM
8-K
CURRENT REPORT
Pursuant to Section 13 or 15(d) of The Securities Exchange Act of 1934
Date of Report (Date of earliest event reported)
March 4, 2021
Valhi, Inc.
(Exact name of registrant as specified in its charter)
Delaware
1-5467
87-0110150
(State or other jurisdiction of incorporation)
(Commission
File Number)
(IRS Employer
Identification No.)
5430 LBJ Freeway
,
Suite 1700
,
Dallas
,
Texas
75240-2620
(Address of principal executive offices)
(Zip Code)
Registrant's telephone number, including area code
(
972
)
233-1700
(Former name or former address, if changed since last report.)
Check the appropriate box below if the Form 8-K filing is intended to simultaneously satisfy the filing obligation
      of the registrant under any of the following provisions (see General Instruction A.2):
☐
Written communications pursuant to Rule 425 under the Securities Act (17 CFR 230.425)
☐
Soliciting material pursuant to Rule 14a-12 under the Exchange Act (17 CFR 240.14a-12)
☐
Pre-commencement communications pursuant to Rule 14d-2(b) under the Exchange Act (17 CFR 240.14d-2(b))
◻
Pre-commencement communications pursuant to Rule 13e-4(c) under the Exchange Act (17 CFR 240.13e-4(c))
Securities registered pursuant to Section 12(b) of the Act:
Title of each class
Trading
Symbol(s)
Name of each exchange on which registered
Common Stock
VHI
NYSE
Indicate by check mark whether the registrant is an emerging growth company as defined in Rule 405 of the Securities Act of 1933 (17 CFR §230.405) or Rule
        12b-2 of the Securities Exchange Act of 1934 (17 CFR §240.12b-2).
Emerging growth company
☐
If an emerging growth company, indicate by check mark if the registrant has elected not to use the extended transition period for complying
        with any new or revised financial accounting standards provided pursuant to Section 13(a) of the Exchange Act.
☐
Item 3.03              Material Modification to Rights of Security Holders.
To the extent required by Item 3.03 of Form 8-K, the information contained in Item 5.03 of this Form 8-K is incorporated herein by
      reference.
Item 5.03
Amendments to Articles of Incorporation or Bylaws; Change in Fiscal Year
At its meeting on March 4, 2021, the registrant's board of directors, pursuant to Article VI of the registrant's third amended and
      restated certificate of incorporation, amended and restated the registrant's bylaws effective March 4, 2021.  The approved amendments added a new Article X with forum selection provisions. Pursuant to the new provisions, unless the registrant
      consents in writing to selection of an alternative forum:
•
the Court of Chancery of the State of Delaware (or, if such court does not have subject matter jurisdiction, the federal district court of the
                State of Delaware) shall be the sole and exclusive forum for (i) any derivative action or proceeding brought on behalf of the registrant, (ii) any action asserting a claim for or based on a breach of a fiduciary duty owed by any current or
                former director, officer, other employee, agent or stockholder of the registrant to the registrant or the registrant's stockholders, (iii) any action asserting a claim against the registrant or any current or former director, officer,
                employee, agent or stockholder of the registrant arising pursuant to any provision of the Delaware General Corporation Law ("DGCL") or the certificate of incorporation or bylaws or as to which the DGCL confers jurisdiction on the Court of
                Chancery of the State of Delaware, or (iv) any action asserting a claim related to or involving the registrant that is governed by the internal affairs doctrine.
•
the federal district courts of the United States of America shall, to the fullest extent permitted by law, be the sole and exclusive forum for
                the resolution of any complaint asserting a cause of action arising under the Securities Act of 1933, as amended, and the rules and regulations promulgated thereunder.
The foregoing description does not purport to be complete and is qualified in its entirety by reference to the complete text of the
      registrant's bylaws as amended and restated on March 4, 2021, which are filed as Exhibit 3.1 to this current report.
Item 7.01
Regulation FD Disclosure.
The registrant also hereby furnishes the information set forth in its press release issued on March 4, 2021, a copy of which is attached
      hereto as Exhibit 99.1 and incorporated herein by reference.
The information, including exhibit 99.1, the registrant furnishes in this current report under this Item 7.01 is not deemed "filed" for
      purposes of section 18 of the Securities Exchange Act of 1934, as amended, or otherwise subject to the liabilities of that section.  Registration statements or other documents filed with the U.S. Securities and Exchange Commission shall not
      incorporate this information by reference, except as otherwise expressly stated in such filing.
Item 9.01
Financial Statements and Exhibits.
(d)
Exhibits
Item No.
Exhibit Index
3.1*
Bylaws of Valhi, Inc. (Amended
                and Restated as of March 4, 2021)
.
99.1*
Press release dated March 4,
                2021 issued by the registrant
.
104
Cover Page Interactive Data File (embedded within the Inline XBRL document)
*
Filed herewith
SIGNATURE
Pursuant to the requirements of the Securities Exchange Act of 1934, the registrant has duly caused this report to be signed on its
      behalf by the undersigned hereunto duly authorized.
Valhi, Inc.
(Registrant)
By:
/s/ Jane Grimm
Date:  March 4, 2021
Jane Grimm, Vice President and Secretary