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    <div style="text-align: center; font-weight: bold;">UNITED STATES</div>
    <div style="text-align: center; font-weight: bold;">SECURITIES AND EXCHANGE COMMISSION</div>
    <div style="text-align: center; font-weight: bold;">Washington, D.C.&#160;&#160; 20549</div>
    <div style="text-align: center; margin-top: 18pt; margin-bottom: 12pt; font-size: 14pt; font-weight: bold;">FORM 8-K</div>
    <div style="text-align: center; font-size: 12pt; font-weight: bold;">CURRENT REPORT</div>
    <div style="text-align: center; font-size: 12pt; font-weight: bold;">Pursuant to Section 13 or 15(d) of The Securities Exchange Act of 1934</div>
    <div><br>
    </div>
    <div style="text-align: center;">Date of Report (Date of the earliest event reported)</div>
    <div style="text-align: center; font-size: 12pt; font-weight: bold;">May 29, 2020</div>
    <div style="text-align: center; margin-top: 18pt; font-size: 18pt; font-variant: small-caps; font-weight: bold;">Valhi, Inc.</div>
    <div style="text-align: center; margin-bottom: 18pt;">(Exact name of registrant as specified in its charter)</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="z4fe49cac6839470bb5bedb635f3a8a5f">

        <tr>
          <td style="width: 33.33%; vertical-align: top;">
            <div style="text-align: center; font-size: 12pt; font-weight: bold;">Delaware</div>
          </td>
          <td style="width: 33.33%; vertical-align: top;">
            <div style="text-align: center; font-size: 12pt; font-weight: bold;">1-5467</div>
          </td>
          <td colspan="2" style="width: 33.33%; vertical-align: top;">
            <div style="text-align: center; font-size: 12pt; font-weight: bold;">87-0110150</div>
          </td>
        </tr>
        <tr>
          <td style="width: 33.33%; vertical-align: top;">
            <div style="text-align: center;">(State or other jurisdiction of incorporation)</div>
          </td>
          <td style="width: 33.33%; vertical-align: top;">
            <div style="text-align: center;">(Commission</div>
            <div style="text-align: center;">File Number)</div>
          </td>
          <td colspan="2" style="width: 33.33%; vertical-align: top;">
            <div style="text-align: center;">(IRS Employer</div>
            <div style="text-align: center;">Identification No.)</div>
          </td>
        </tr>
        <tr>
          <td style="width: 33.33%; vertical-align: top;">&#160;</td>
          <td style="width: 33.33%; vertical-align: top;">&#160;</td>
          <td colspan="2" style="width: 33.33%; vertical-align: top;">&#160;</td>
        </tr>
        <tr>
          <td style="width: 33.33%; vertical-align: top;">&#160;</td>
          <td style="width: 33.33%; vertical-align: top;">&#160;</td>
          <td colspan="2" style="width: 33.33%; vertical-align: top;">&#160;</td>
        </tr>
        <tr>
          <td colspan="3" style="width: 66.92%; vertical-align: top;">
            <div style="text-align: center; font-size: 12pt; font-weight: bold;">5430 LBJ Freeway, Suite 1700, Dallas, Texas</div>
          </td>
          <td style="width: 33.08%; vertical-align: top;">
            <div style="text-align: center; font-size: 12pt; font-weight: bold;">75240-2620</div>
          </td>
        </tr>
        <tr>
          <td colspan="3" style="width: 66.92%; vertical-align: top;">
            <div style="text-align: center;">(Address of principal executive offices)</div>
          </td>
          <td style="width: 33.08%; vertical-align: top;">
            <div style="text-align: center;">(Zip Code)</div>
          </td>
        </tr>

    </table>
    <div style="text-align: center; margin-top: 12pt;">Registrant&#8217;s telephone number, including area code</div>
    <div style="text-align: center; margin-bottom: 12pt; font-size: 12pt; font-weight: bold;">(972) 233-1700</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="z1f39110f23cb47a0b23aacdf388e5a2a">

        <tr>
          <td style="width: 23.68%; vertical-align: top;">&#160;</td>
          <td style="width: 52.63%; vertical-align: top; border-bottom: #000000 2px solid;">&#160;</td>
          <td style="width: 23.68%; vertical-align: top;">&#160;</td>
        </tr>
        <tr>
          <td style="width: 23.68%; vertical-align: top;">&#160;</td>
          <td style="width: 52.63%; vertical-align: top;">
            <div style="text-align: center;">(Former name or former address, if changed since last report.)</div>
          </td>
          <td style="width: 23.68%; vertical-align: top;">&#160;</td>
        </tr>

    </table>
    <div style="text-align: justify; margin-top: 18pt; margin-bottom: 12pt;">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>
    <table cellspacing="0" cellpadding="0" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;" id="z98f1cdb60c114aad9ef31be5563bf922">

        <tr>
          <td style="width: 6.77%; vertical-align: top;">
            <div style="text-align: center; font-size: 14pt;">&#9633;</div>
          </td>
          <td style="width: 93.23%; vertical-align: middle;">
            <div style="text-align: justify;">Written communications pursuant to Rule 425 under the Securities Act (17 CFR 230.425)</div>
          </td>
        </tr>
        <tr>
          <td style="width: 6.77%; vertical-align: top;">&#160;</td>
          <td style="width: 93.23%; vertical-align: middle;">&#160;</td>
        </tr>
        <tr>
          <td style="width: 6.77%; vertical-align: top;">
            <div style="text-align: center; font-size: 14pt;">&#9723;</div>
          </td>
          <td style="width: 93.23%; vertical-align: middle;">
            <div style="text-align: justify;">Soliciting material pursuant to Rule 14a-12 under the Exchange Act (17 CFR 240.14a-12)</div>
          </td>
        </tr>
        <tr>
          <td style="width: 6.77%; vertical-align: top;">&#160;</td>
          <td style="width: 93.23%; vertical-align: middle;">&#160;</td>
        </tr>
        <tr>
          <td style="width: 6.77%; vertical-align: top;">
            <div style="text-align: center; font-size: 14pt;">&#9723;</div>
          </td>
          <td style="width: 93.23%; vertical-align: middle;">
            <div style="text-align: justify;">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: 6.77%; vertical-align: top;">&#160;</td>
          <td style="width: 93.23%; vertical-align: middle;">&#160;</td>
        </tr>
        <tr>
          <td style="width: 6.77%; vertical-align: top;">
            <div style="text-align: center; font-size: 14pt;">&#9723;</div>
          </td>
          <td style="width: 93.23%; vertical-align: middle;">
            <div style="text-align: justify;">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;">Securities registered pursuant to Section 12(b) of the Act:</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="z9c342a8773b24f489faf53b8df4f3e5a">

        <tr>
          <td style="width: 37.99%; vertical-align: bottom; border-bottom: #000000 2px solid;">
            <div style="text-align: center; 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-size: 8pt; font-weight: bold;">Trading</div>
            <div style="text-align: center; font-size: 8pt; font-weight: bold;">Symbol(s)</div>
          </td>
          <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-size: 8pt; font-weight: bold;">Name of each exchange on which registered</div>
          </td>
        </tr>
        <tr>
          <td style="width: 37.99%; vertical-align: top;">
            <div style="text-align: center; font-size: 8pt;">Common stock</div>
          </td>
          <td style="width: 1%; vertical-align: bottom;">&#160;</td>
          <td style="width: 15%; vertical-align: bottom;">
            <div style="text-align: center; font-size: 8pt;">VHI</div>
          </td>
          <td style="width: 1%; vertical-align: bottom;">&#160;</td>
          <td style="width: 45%; vertical-align: bottom;">
            <div style="text-align: center; font-size: 8pt;">NYSE</div>
          </td>
        </tr>

    </table>
    <div style="background-color: #FFFFFF;">
      <div><br>
      </div>
      <div>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 style="background-color: #FFFFFF;">
      <div><br>
      </div>
      <div style="text-align: right; margin-top: 6pt;">Emerging growth company&#160;&#160;&#9744;</div>
    </div>
    <div style="background-color: #FFFFFF;">
      <div><br>
      </div>
      <div style="margin-top: 6pt;">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;&#160;&#9744;</div>
    </div>
    <div><br>
    </div>
    <div style="clear: both; margin-top: 10pt; margin-bottom: 10pt;" id="DSPFPageBreakArea">
      <div style="page-break-after:always;" id="DSPFPageBreak">
        <hr noshade="noshade" 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-size: 12pt; font-weight: bold;">Item 3.03&#160;&#160;&#160;&#160;&#160;&#160;&#160; Material Modification to Rights of Security Holders.</div>
    <div>&#160;</div>
    <div style="text-align: justify; text-indent: 36pt; 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>
    <div style="text-align: justify;">
      <div>
        <table cellspacing="0" cellpadding="0" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;" class="DSPFListTable" id="z908c9a84c4824289b2a005e373ad8909">

            <tr>
              <td style="width: 72pt; vertical-align: top; align: right; font-size: 12pt; font-weight: bold;">Item 5.03</td>
              <td style="width: auto; vertical-align: top; text-align: justify;">
                <div style="font-size: 12pt; font-weight: bold;">Amendments to Articles of Incorporation or Bylaws; Change in Fiscal Year.</div>
              </td>
            </tr>

        </table>
      </div>
    </div>
    <div><br>
    </div>
    <div style="text-align: justify; text-indent: 36pt; font-size: 12pt;">On May 29, 2020, the registrant filed a certificate of amendment (the &#8220;Certificate of Amendment&#8221;) to the registrant&#8217;s third amended and restated certificate of incorporation with the
      Secretary of State of the State of Delaware to effect (1) a 1-for-12 reverse stock split of the outstanding shares of the Company&#8217;s common stock, par value $0.01 per share (the &#8220;Reverse Stock Split&#8221;), and (2) a reduction in the number of authorized
      shares of the registrant&#8217;s stock from 505,000,000 shares (500,000,000 shares of common stock and 5,000,000 shares of preferred stock), par value $.01 per share, to 50,500,000 shares (50,000,000 shares of common stock and 500,000 shares of preferred
      stock), par value $.01 per share.</div>
    <div><br>
    </div>
    <div style="text-align: justify; text-indent: 36pt; font-size: 12pt;">The Certificate of Amendment and the Reverse Stock Split became effective at 4:01 p.m. Eastern time on June 1, 2020.</div>
    <div><br>
    </div>
    <div style="text-align: justify; text-indent: 36pt; font-size: 12pt;">No fractional shares of common stock will be issued as a result of the Reverse Stock Split. Instead, any stockholder of record who would have been entitled to receive a fractional
      share as a result of the Reverse Stock Split will receive a cash payment in lieu of such fractional share.&#160; Additional information regarding the Reverse Stock Split can be found in the registrant&#8217;s definitive proxy statement filed with the&#160;Securities
      and Exchange Commission&#160;on&#160;April 7, 2020.</div>
    <div><br>
    </div>
    <div style="text-align: justify; text-indent: 36pt; font-size: 12pt;">The foregoing description of the Certificate of Amendment does not purport to be complete and is qualified in its entirety by reference to the complete text of the Certificate of
      Amendment, a copy of which is filed with this report as Exhibit 3.1 and is incorporated herein reference.</div>
    <div><br>
    </div>
    <div><br>
    </div>
    <div style="text-align: justify;">
      <div>
        <table cellspacing="0" cellpadding="0" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;" class="DSPFListTable" id="zddabbec6b6c24819b376c163ed02d1b8">

            <tr>
              <td style="width: 72pt; vertical-align: top; align: right; font-size: 12pt; font-weight: bold;">Item 9.01</td>
              <td style="width: auto; vertical-align: top; text-align: justify;">
                <div style="font-size: 12pt; font-weight: bold;">Financial Statements and Exhibits.</div>
              </td>
            </tr>

        </table>
      </div>
    </div>
    <div><br>
    </div>
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        <tr>
          <td colspan="2" style="width: 5.83%; vertical-align: top;">
            <div style="text-align: justify; font-size: 12pt;">(d)</div>
          </td>
          <td colspan="3" style="width: 19.74%; vertical-align: top;">
            <div style="text-align: justify; font-size: 12pt;">Exhibits</div>
          </td>
          <td style="width: 2.82%; vertical-align: top;">&#160;</td>
          <td colspan="2" style="width: 71.62%; vertical-align: top;">&#160;</td>
        </tr>
        <tr>
          <td colspan="2" style="width: 5.83%; vertical-align: top;">&#160;</td>
          <td colspan="3" style="width: 19.74%; vertical-align: top;">&#160;</td>
          <td style="width: 2.82%; vertical-align: top;">&#160;</td>
          <td colspan="2" style="width: 71.62%; vertical-align: top;">&#160;</td>
        </tr>
        <tr>
          <td colspan="2" style="width: 5.83%; vertical-align: top;">&#160;</td>
          <td colspan="3" style="width: 19.74%; vertical-align: top; border-bottom: 2px solid #000000;">
            <div>
              <div style="text-align: center; font-size: 12pt; font-weight: bold;">Item No.</div>
            </div>
          </td>
          <td style="width: 2.82%; vertical-align: top;">&#160;</td>
          <td colspan="2" style="width: 71.62%; vertical-align: top; border-bottom: 2px solid #000000;">
            <div>
              <div style="text-align: center; font-size: 12pt; font-weight: bold;">Exhibit Index</div>
            </div>
          </td>
        </tr>
        <tr>
          <td colspan="2" style="width: 5.83%; vertical-align: top;">&#160;</td>
          <td colspan="3" style="width: 19.74%; vertical-align: top;">&#160;</td>
          <td style="width: 2.82%; vertical-align: top;">&#160;</td>
          <td colspan="2" style="width: 71.62%; vertical-align: top;">&#160;</td>
        </tr>
        <tr>
          <td colspan="2" style="width: 5.83%; vertical-align: top;">&#160;</td>
          <td colspan="3" style="width: 19.74%; vertical-align: top;">
            <div style="text-align: center; font-size: 12pt;">3.1</div>
          </td>
          <td style="width: 2.82%; vertical-align: top;">&#160;</td>
          <td colspan="2" style="width: 71.62%; vertical-align: top;">
            <div style="text-align: justify; font-size: 12pt;"><a href="exhibit31.htm">Certificate of Amendment to the Third Amended and Restated Certificate of
                Incorporation of the registrant</a></div>
          </td>
        </tr>
        <tr>
          <td style="width: 1.13%; vertical-align: top;">&#160;</td>
          <td colspan="2" style="width: 19.42%; vertical-align: top;">&#160;</td>
          <td style="width: 2.8%; vertical-align: top;">&#160;</td>
          <td colspan="3" style="width: 69.72%; vertical-align: top;">&#160;</td>
          <td style="width: 6.93%; vertical-align: top;">&#160;</td>
        </tr>

    </table>
    <div><br>
    </div>
    <div><br>
    </div>
    <div style="clear: both; margin-top: 10pt; margin-bottom: 10pt;" id="DSPFPageBreakArea">
      <div style="page-break-after:always;" id="DSPFPageBreak">
        <hr noshade="noshade" style="margin: 4px 0px; width: 100%; border-width: 0; height: 2px; color: #000000; background-color: #000000; clear: both;"></div>
    </div>
    <div style="text-align: center; font-size: 12pt; font-weight: bold;">SIGNATURE</div>
    <div><br>
    </div>
    <div><br>
    </div>
    <div style="text-align: justify; text-indent: 36pt; 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>
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        <tr>
          <td style="width: 50%; vertical-align: top;">&#160;</td>
          <td style="width: 50%; vertical-align: top;">
            <div style="text-align: justify; font-size: 12pt; font-variant: small-caps; font-weight: bold;">Valhi, Inc.</div>
          </td>
        </tr>
        <tr>
          <td style="width: 50%; vertical-align: top;">&#160;</td>
          <td style="width: 50%; vertical-align: top;">
            <div style="text-align: justify; font-size: 12pt;">(Registrant)</div>
          </td>
        </tr>
        <tr>
          <td style="width: 50%; vertical-align: top;">&#160;</td>
          <td style="width: 50%; vertical-align: top;">&#160;</td>
        </tr>
        <tr>
          <td style="width: 50%; vertical-align: top;">&#160;</td>
          <td style="width: 50%; vertical-align: top;">&#160;</td>
        </tr>
        <tr>
          <td style="width: 50%; vertical-align: top;">&#160;</td>
          <td style="width: 50%; vertical-align: top;">&#160;</td>
        </tr>
        <tr>
          <td style="width: 50%; vertical-align: top;">&#160;</td>
          <td style="width: 50%; vertical-align: top;">&#160;</td>
        </tr>
        <tr>
          <td style="width: 50%; vertical-align: top;">&#160;</td>
          <td style="width: 50%; vertical-align: top;">&#160;</td>
        </tr>
        <tr>
          <td style="width: 50%; vertical-align: top;">&#160;</td>
          <td style="width: 50%; vertical-align: top; border-bottom: 2px solid black;">
            <div style="text-align: justify;"><font style="font-size: 12pt;">By:</font>&#160;&#160;&#160;&#160; <font style="font-size: 12pt;">/s/ Jane R. Grimm</font></div>
          </td>
        </tr>
        <tr>
          <td style="width: 50%; vertical-align: top;">
            <div style="text-align: justify; font-size: 12pt;">Date:&#160; June 2, 2020</div>
          </td>
          <td style="width: 50%; vertical-align: top;">
            <div style="text-align: justify; margin-left: 26.1pt; font-size: 12pt; font-style: italic;">Jane R. Grimm,</div>
            <div style="text-align: justify; margin-left: 26.1pt; font-size: 12pt; font-style: italic;">Vice President and Secretary</div>
          </td>
        </tr>

    </table>
    <div><br>
    </div>
    <br>
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{"company-data": {"conformed-name": "VALHI INC /DE/", "cik": "0000059255", "assigned-sic": "2810", "irs-number": "870110150", "state-of-incorporation": "DE", "fiscal-year-end": "1231"}, "filing-values": {"form-type": "8-K", "act": "34", "file-number": "333-48391", "film-number": "20938484"}, "business-address": {"street1": "5430 LBJ FRWY", "street2": "STE 1700", "city": "DALLAS", "state": "TX", "zip": "75240", "phone": "9722331700"}, "mail-address": {"street1": "THREE LINCOLN CENTER", "street2": "5430 LBJ FREEWAY SUITE 1700", "city": "DALLAS", "state": "TX", "zip": "75240-2620"}, "former-company": [{"former-conformed-name": "LLC CORP", "date-changed": "19870329"}, {"former-conformed-name": "LIBERTY LOAN CORP", "date-changed": "19800414"}]}
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 the earliest event reported)
May 29, 2020
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.
On May 29, 2020, the registrant filed a certificate of amendment (the "Certificate of Amendment") to the registrant's third amended and restated certificate of incorporation with the
      Secretary of State of the State of Delaware to effect (1) a 1-for-12 reverse stock split of the outstanding shares of the Company's common stock, par value $0.01 per share (the "Reverse Stock Split"), and (2) a reduction in the number of authorized
      shares of the registrant's stock from 505,000,000 shares (500,000,000 shares of common stock and 5,000,000 shares of preferred stock), par value $.01 per share, to 50,500,000 shares (50,000,000 shares of common stock and 500,000 shares of preferred
      stock), par value $.01 per share.
The Certificate of Amendment and the Reverse Stock Split became effective at 4:01 p.m. Eastern time on June 1, 2020.
No fractional shares of common stock will be issued as a result of the Reverse Stock Split. Instead, any stockholder of record who would have been entitled to receive a fractional
      share as a result of the Reverse Stock Split will receive a cash payment in lieu of such fractional share.  Additional information regarding the Reverse Stock Split can be found in the registrant's definitive proxy statement filed with the Securities
      and Exchange Commission on April 7, 2020.
The foregoing description of the Certificate of Amendment does not purport to be complete and is qualified in its entirety by reference to the complete text of the Certificate of
      Amendment, a copy of which is filed with this report as Exhibit 3.1 and is incorporated herein reference.
Item 9.01
Financial Statements and Exhibits.
(d)
Exhibits
Item No.
Exhibit Index
3.1
Certificate of Amendment to the Third Amended and Restated Certificate of
                Incorporation of the registrant
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 R. Grimm
Date:  June 2, 2020
Jane R. Grimm,
Vice President and Secretary