<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2020-12-16</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001661460</issuerCik>
        <issuerName>Poseida Therapeutics, Inc.</issuerName>
        <issuerTradingSymbol>PSTX</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001836654</rptOwnerCik>
            <rptOwnerName>Corning Luke</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PENTWATER CAPITAL MANAGEMENT</rptOwnerStreet1>
            <rptOwnerStreet2>1001 10TH AVE. SOUTH, SUITE 216</rptOwnerStreet2>
            <rptOwnerCity>NAPLES</rptOwnerCity>
            <rptOwnerState>FL</rptOwnerState>
            <rptOwnerZipCode>34102</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>true</isDirector>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>4967227</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnotes</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Pentwater Capital Management LP (&quot;Pentwater Capital&quot;), Crown Managed Accounts SPC, Investment Opportunities 3 SPC, LMA SPC on behalf of MAP 98 Segregated Portfolio, PWCM Master Fund Ltd., Oceana Master Fund, Ltd., Pentwater Merger Arbitrage Master Fund, Ltd., Pentwater Metric Merger Arbitrage Fund LP, Pentwater Credit Master Fund Ltd., Pentwater Equity Opportunities Master Fund, Ltd., Pentwater Unconstrained Master Fund Ltd. (collectively, the &quot;Funds&quot;) directly own the reported securities. The Reporting Person became a director of the issuer on December 16, 2020.</footnote>
        <footnote id="F2">The Reporting Person may be deemed to have indirect pecuniary interest in such shares through his minority investment interest in Pentwater Credit Fund Ltd., which is the indirect owner of shares held by the Funds and as an employee of Pentwater Capital, which is the investment manager of the Funds. The Reporting Person disclaims beneficial ownership of the reported securities except to the extent of his pecuniary interest therein, and this report shall not be deemed an admission that such Reporting Person is the beneficial owner of the securities for purposes of Section 16 of the Securities Exchange Act of 1934, as amended, or for any other purpose.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Luke Corning</signatureName>
        <signatureDate>2020-12-28</signatureDate>
    </ownerSignature>
</ownershipDocument>
