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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 earliest event reported)</div>
    <div style="text-align: center; font-size: 12pt; font-weight: bold;">March 13, 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" id="zd86aff2f1b5748e4bb13c75166a4b9c7" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;">

        <tr>
          <td style="width: 33.35%; vertical-align: top;">
            <div style="text-align: center; font-size: 12pt; font-weight: bold;">Delaware</div>
          </td>
          <td style="width: 33.32%; vertical-align: top;">
            <div style="text-align: center; font-size: 12pt; font-weight: bold;">1-5467</div>
          </td>
          <td style="width: 33.32%; vertical-align: top;" colspan="2">
            <div style="text-align: center; font-size: 12pt; font-weight: bold;">87-0110150</div>
          </td>
        </tr>
        <tr>
          <td style="width: 33.35%; vertical-align: top;">
            <div style="text-align: center;">(State or other jurisdiction of incorporation)</div>
          </td>
          <td style="width: 33.32%; vertical-align: top;">
            <div style="text-align: center;">(Commission</div>
            <div style="text-align: center;">File Number)</div>
          </td>
          <td style="width: 33.32%; vertical-align: top;" colspan="2">
            <div style="text-align: center;">(IRS Employer</div>
            <div style="text-align: center;">Identification No.)</div>
          </td>
        </tr>
        <tr>
          <td style="width: 33.35%; vertical-align: top;">&#160;</td>
          <td style="width: 33.32%; vertical-align: top;">&#160;</td>
          <td style="width: 33.32%; vertical-align: top;" colspan="2">&#160;</td>
        </tr>
        <tr>
          <td style="width: 33.35%; vertical-align: top;">&#160;</td>
          <td style="width: 33.32%; vertical-align: top;">&#160;</td>
          <td style="width: 33.32%; vertical-align: top;" colspan="2">&#160;</td>
        </tr>
        <tr>
          <td style="width: 66.92%; vertical-align: top;" colspan="3">
            <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 style="width: 66.92%; vertical-align: top;" colspan="3">
            <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" id="z41dc51a326cf43d5845335c7074e68ae" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;">

        <tr>
          <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>
        </tr>
        <tr>
          <td style="width: 23.65%; vertical-align: top;">&#160;</td>
          <td style="width: 52.68%; vertical-align: top;">
            <div style="text-align: center;">(Former name or former address, if changed since last report.)</div>
          </td>
          <td style="width: 23.66%; 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" id="zfa900839eca9402c98ea59f1ec0e7e97" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;">

        <tr>
          <td style="width: 6.87%; vertical-align: top;">
            <div style="text-align: center; font-size: 14pt;">&#9633;</div>
          </td>
          <td style="width: 93.13%; 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: 6.87%; 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-size: 14pt;">&#9723;</div>
          </td>
          <td style="width: 93.13%; 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: 6.87%; 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-size: 14pt;">&#9723;</div>
          </td>
          <td style="width: 93.13%; 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: 6.87%; 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-size: 14pt;">&#9723;</div>
          </td>
          <td style="width: 93.13%; 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" id="z77673dac44284bf8a588af903ddf5b71" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;">

        <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 id="DSPFPageBreakArea" style="clear: both; margin-top: 10pt; margin-bottom: 10pt;">
      <div id="DSPFPageBreak" style="page-break-after:always;">
        <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;">
      <div>
        <table cellspacing="0" cellpadding="0" id="z6552560b02bb4d6b97741dccff59381f" class="DSPFListTable" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;">

            <tr>
              <td style="width: 72pt; vertical-align: top; align: right; font-weight: bold;">Item 5.02</td>
              <td style="width: auto; vertical-align: top; text-align: justify;">
                <div style="font-weight: bold;">Departure of Directors or Certain Officers; Election of Directors; Appointment of Certain Officers; Compensatory Arrangements of Certain
                  Officers.</div>
              </td>
            </tr>

        </table>
      </div>
    </div>
    <div><br>
    </div>
    <div style="text-align: justify; text-indent: 36pt;">On March 13, 2020, Kelly D. Luttmer, executive vice president and chief tax officer of the registrant, provided notice to the registrant
      that, effective as of June 1, 2020, she will retire as an officer of the registrant.&#160; In connection with her retirement from the registrant, Ms. Luttmer has also provided notice to Kronos Worldwide, Inc. (&#8220;Kronos&#8221;), NL Industries, Inc. (&#8220;NL&#8221;) and
      CompX International Inc. (&#8220;CompX&#8221;), affiliates of the registrant, that she will also retire as an officer of those companies as of such date.&#160; Following such retirements, Ms. Luttmer will continue to be employed by Contran Corporation (&#8220;Contran&#8221;),
      the privately-held parent corporation of the registrant, and will continue to serve as executive vice president and chief tax officer of Contran.</div>
    <div><br>
    </div>
    <div style="text-indent: 36pt;">Following such retirement notice of Ms. Luttmer, the registrant&#8217;s board of directors took action, also effective as of June 1, 2020, to:</div>
    <div><br>
    </div>
    <div>
      <table cellspacing="0" cellpadding="0" id="z2e726d619e4845e8a266ed521f4ea74f" class="DSPFListTable" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;">

          <tr>
            <td style="width: 54pt; vertical-align: top; align: right;">
              <div style="margin-left: 36pt;">&#8226;</div>
            </td>
            <td style="width: auto; vertical-align: top;">
              <div>elect Kristin B. McCoy as vice president, tax of the registrant;</div>
            </td>
          </tr>

      </table>
    </div>
    <div>
      <table cellspacing="0" cellpadding="0" id="z4a41852dd50d407f93164840ea9d7245" class="DSPFListTable" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;">

          <tr>
            <td style="width: 54pt; vertical-align: top; align: right;">
              <div style="margin-left: 36pt;">&#8226;</div>
            </td>
            <td style="width: auto; vertical-align: top;">
              <div>elect Darci B. Scott as vice president, tax &#8211; financial reporting of the registrant; and</div>
            </td>
          </tr>

      </table>
    </div>
    <div>
      <table cellspacing="0" cellpadding="0" id="z28409243e9064181ac163123d32bec26" class="DSPFListTable" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;">

          <tr>
            <td style="width: 54pt; vertical-align: top; align: right;">
              <div style="margin-left: 36pt;">&#8226;</div>
            </td>
            <td style="width: auto; vertical-align: top;">
              <div>designate Ms. McCoy and Ms. Scott as executive officers of the registrant.</div>
            </td>
          </tr>

      </table>
    </div>
    <div><br>
    </div>
    <div style="text-indent: 36pt;">Ms. McCoy, age 47, has served in various tax accounting positions with various companies related to the registrant and Contran since 2003
      and currently serves as vice president, tax of Kronos.&#160; Beginning June 1, 2020, she will also serve as an executive officer of Kronos as its vice president, tax.</div>
    <div><br>
    </div>
    <div style="text-indent: 36pt;">Ms. Scott, age 45, has served in various tax accounting positions with various companies related to the registrant and Contran since 2006
      and currently serves as vice president, tax of the registrant.&#160; Beginning June 1, 2020, she will also serve as an executive officer of each of CompX and NL as its vice president, tax.</div>
    <div><br>
    </div>
    <div style="text-align: justify; text-indent: 36pt;">Ms. McCoy and Ms. Scott are employees of Contran and will provide their services to the registrant under an intercorporate services
      agreement between the registrant and Contran.&#160; For a description of the intercorporate services agreement, see &#8220;Certain Relationships and Transactions&#8221; in the registrant&#8217;s 2019 proxy statement, which description is incorporated herein by reference.&#160;
      In addition, for a discussion of potential conflicts of interest of officers who serve more than one corporation, see &#8220;Certain Relationships and Transactions&#8221; in the 2019 proxy statement, which discussion is also incorporated herein by reference.</div>
    <div id="DSPFPageBreakArea" style="clear: both; margin-top: 10pt; margin-bottom: 10pt;">
      <div id="DSPFPageBreak" style="page-break-after:always;">
        <hr noshade="noshade" 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-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>
    <table cellspacing="0" cellpadding="0" id="zca99bcd4ebc84843946a4ba8f98e50d2" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;">

        <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-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-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>
        <tr>
          <td style="width: 49.6%; vertical-align: top;">&#160;</td>
          <td style="width: 50.4%; vertical-align: top;">&#160;</td>
        </tr>
        <tr>
          <td style="width: 49.6%; vertical-align: top;">&#160;</td>
          <td style="width: 50.4%; vertical-align: top;">&#160;</td>
        </tr>
        <tr>
          <td style="width: 49.6%; vertical-align: top;">&#160;</td>
          <td style="width: 50.4%; vertical-align: top;">&#160;</td>
        </tr>
        <tr>
          <td style="width: 49.6%; vertical-align: top;">&#160;</td>
          <td style="width: 50.4%; vertical-align: top;">&#160;</td>
        </tr>
        <tr>
          <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;"><font style="font-size: 12pt;">By:</font><font id="TRGRRTFtoHTMLTab" style="display: inline-block; text-indent: 0px; font-size: 1px; width: 26.1pt">&#160;</font><font style="font-size: 12pt;">/s/ Jane Grimm<font id="TRGRRTFtoHTMLTab" style="display: inline-block; text-indent: 0px; font-size: 1px; width: 12pt">&#160;</font></font></div>
          </td>
        </tr>
        <tr>
          <td style="width: 49.6%; vertical-align: top;">
            <div style="text-align: justify; font-size: 12pt;">Date:&#160; March 18, 2020</div>
          </td>
          <td style="width: 50.4%; vertical-align: top;">
            <div style="text-align: justify; margin-left: 26.1pt; font-size: 12pt; font-style: italic;">Jane Grimm, Vice President and Secretary</div>
          </td>
        </tr>

    </table>
    <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 13, 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 5.02
Departure of Directors or Certain Officers; Election of Directors; Appointment of Certain Officers; Compensatory Arrangements of Certain
                  Officers.
On March 13, 2020, Kelly D. Luttmer, executive vice president and chief tax officer of the registrant, provided notice to the registrant
      that, effective as of June 1, 2020, she will retire as an officer of the registrant.  In connection with her retirement from the registrant, Ms. Luttmer has also provided notice to Kronos Worldwide, Inc. ("Kronos"), NL Industries, Inc. ("NL") and
      CompX International Inc. ("CompX"), affiliates of the registrant, that she will also retire as an officer of those companies as of such date.  Following such retirements, Ms. Luttmer will continue to be employed by Contran Corporation ("Contran"),
      the privately-held parent corporation of the registrant, and will continue to serve as executive vice president and chief tax officer of Contran.
Following such retirement notice of Ms. Luttmer, the registrant's board of directors took action, also effective as of June 1, 2020, to:
•
elect Kristin B. McCoy as vice president, tax of the registrant;
•
elect Darci B. Scott as vice president, tax – financial reporting of the registrant; and
•
designate Ms. McCoy and Ms. Scott as executive officers of the registrant.
Ms. McCoy, age 47, has served in various tax accounting positions with various companies related to the registrant and Contran since 2003
      and currently serves as vice president, tax of Kronos.  Beginning June 1, 2020, she will also serve as an executive officer of Kronos as its vice president, tax.
Ms. Scott, age 45, has served in various tax accounting positions with various companies related to the registrant and Contran since 2006
      and currently serves as vice president, tax of the registrant.  Beginning June 1, 2020, she will also serve as an executive officer of each of CompX and NL as its vice president, tax.
Ms. McCoy and Ms. Scott are employees of Contran and will provide their services to the registrant under an intercorporate services
      agreement between the registrant and Contran.  For a description of the intercorporate services agreement, see "Certain Relationships and Transactions" in the registrant's 2019 proxy statement, which description is incorporated herein by reference. 
      In addition, for a discussion of potential conflicts of interest of officers who serve more than one corporation, see "Certain Relationships and Transactions" in the 2019 proxy statement, which discussion is also incorporated herein by reference.
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 18, 2020
Jane Grimm, Vice President and Secretary