<SEC-DOCUMENT>0001209191-20-051589.txt : 20200922
<SEC-HEADER>0001209191-20-051589.hdr.sgml : 20200922
<ACCEPTANCE-DATETIME>20200922195119
ACCESSION NUMBER:		0001209191-20-051589
CONFORMED SUBMISSION TYPE:	4
PUBLIC DOCUMENT COUNT:		1
CONFORMED PERIOD OF REPORT:	20200922
FILED AS OF DATE:		20200922
DATE AS OF CHANGE:		20200922

REPORTING-OWNER:	

	OWNER DATA:	
		COMPANY CONFORMED NAME:			Svennilson Peter
		CENTRAL INDEX KEY:			0001606074

	FILING VALUES:
		FORM TYPE:		4
		SEC ACT:		1934 Act
		SEC FILE NUMBER:	001-38997
		FILM NUMBER:		201190647

	MAIL ADDRESS:	
		STREET 1:		1700 OWENS STREET
		STREET 2:		SUITE 500
		CITY:			SAN FRANCISCO
		STATE:			CA
		ZIP:			94158

ISSUER:		

	COMPANY DATA:	
		COMPANY CONFORMED NAME:			RAPT Therapeutics, Inc.
		CENTRAL INDEX KEY:			0001673772
		STANDARD INDUSTRIAL CLASSIFICATION:	PHARMACEUTICAL PREPARATIONS [2834]
		IRS NUMBER:				473313701
		STATE OF INCORPORATION:			DE
		FISCAL YEAR END:			1231

	BUSINESS ADDRESS:	
		STREET 1:		561 ECCLES AVENUE
		CITY:			SOUTH SAN FRANCISCO
		STATE:			CA
		ZIP:			94080
		BUSINESS PHONE:		(650) 489-9000

	MAIL ADDRESS:	
		STREET 1:		561 ECCLES AVENUE
		CITY:			SOUTH SAN FRANCISCO
		STATE:			CA
		ZIP:			94080

	FORMER COMPANY:	
		FORMER CONFORMED NAME:	FLX Bio, Inc.
		DATE OF NAME CHANGE:	20160504
</SEC-HEADER>
<DOCUMENT>
<TYPE>4
<SEQUENCE>1
<FILENAME>doc4.xml
<DESCRIPTION>FORM 4 SUBMISSION
<TEXT>
<XML>
<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-09-22</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001673772</issuerCik>
        <issuerName>RAPT Therapeutics, Inc.</issuerName>
        <issuerTradingSymbol>RAPT</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001606074</rptOwnerCik>
            <rptOwnerName>Svennilson Peter</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1700 OWENS STREET</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 500</rptOwnerStreet2>
            <rptOwnerCity>SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94158</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-09-22</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>608000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>30.85</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>3835679</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1599417</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>145401</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>50000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The securities are directly held by The Column Group II, LP (&quot;TCG II LP&quot;) and indirectly held by The Column Group II GP, LP (&quot;TCG II GP&quot;), the general partner of TCG II LP. The Reporting Person is one of the managing partners of TCG II GP. The managing partners of TCG II GP may be deemed to have voting and investment power with respect to such shares. The Reporting Person disclaims beneficial ownership of these shares, except to the extent of his pecuniary interest in such shares.</footnote>
        <footnote id="F2">The securities are directly held by Ponoi Capital, LP (&quot;Ponoi LP&quot;) and indirectly held by Ponoi Management, LLC (&quot;Ponoi LLC&quot;), the general partner of Ponoi LP. The Reporting Person is one of the managing partners of Ponoi LLC.  The managing partners of Ponoi LLC may be deemed to have voting and investment power with respect to such shares. The Reporting Person disclaims beneficial ownership of these shares, except to the extent of his pecuniary interest in such shares.</footnote>
        <footnote id="F3">The securities are directly held by Ponoi Capital II, LP (&quot;Ponoi II LP&quot;) and indirectly held by Ponoi II Management, LLC (&quot;Ponoi II LLC&quot;), the general partner of Ponoi II LP. The Reporting Person is one of the managing partners of Ponoi II LLC. The managing partners of Ponoi II LLC may be deemed to have voting and investment power with respect to such shares. The Reporting Person disclaims beneficial ownership of these shares, except to the extent of his pecuniary interest in such shares.</footnote>
        <footnote id="F4">The securities are directly held by The Column Group II Management, LP (&quot;TCGM II LP&quot;). The Reporting Person is one of the managing partners of TCGM II LP. The managing partners of TCGM II LP may be deemed to have voting and investment power with respect to such shares. The Reporting Person disclaims beneficial ownership of these shares, except to the extent of his pecuniary interest in such shares.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Jennifer J. Carlson, Attorney-in-Fact</signatureName>
        <signatureDate>2020-09-22</signatureDate>
    </ownerSignature>
</ownershipDocument>
</XML>
</TEXT>
</DOCUMENT>
</SEC-DOCUMENT>
