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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2018-05-17</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0000029669</issuerCik>
        <issuerName>RR Donnelley &amp; Sons Co</issuerName>
        <issuerTradingSymbol>RRD</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001741282</rptOwnerCik>
            <rptOwnerName>O'Brien Kenneth E</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O R.R. DONNELLEY &amp; SONS COMPANY</rptOwnerStreet1>
            <rptOwnerStreet2>35 W. WACKER DRIVE</rptOwnerStreet2>
            <rptOwnerCity>CHICAGO</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60601</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>EVP and CIO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>119602</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Includes 43,789 shares of common stock held directly and 75,813 Company granted restricted stock units (&quot;RSUs&quot;) issued pursuant to a Rule 16b-3 plan.  17,682 of the RSUs were granted on February 29, 2016 and vest in full on March 2, 2019; 14,068 of the RSUs were granted on October 1, 2016 and vest in three equal annual installments beginning on October 1, 2017; 9,476 of the RSUs were granted on March 2, 2017 and vest in three equal annual installments beginning on March 2, 2018; and 34,587 of the RSUs were granted on March 2, 2018 and vest in three equal annual installments beginning on March 2, 2019, in each case subject to Mr. O'Brien's continued employment with the Company.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Deborah L. Steiner, as Attorney-in-Fact</signatureName>
        <signatureDate>2018-05-24</signatureDate>
    </ownerSignature>
</ownershipDocument>
