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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-10-29</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001528557</issuerCik>
        <issuerName>Corindus Vascular Robotics, Inc.</issuerName>
        <issuerTradingSymbol>CVRS</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001343781</rptOwnerCik>
            <rptOwnerName>HealthCor Management, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>55 HUDSON YARDS, 28TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10001</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001409305</rptOwnerCik>
            <rptOwnerName>HealthCor Associates, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>55 HUDSON YARDS, 28TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10001</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001454850</rptOwnerCik>
            <rptOwnerName>HealthCor Hybrid Offshore Master Fund, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>55 HUDSON YARDS, 28TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10001</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001454849</rptOwnerCik>
            <rptOwnerName>HealthCor Hybrid Offshore GP, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>55 HUDSON YARDS, 28TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10001</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001409307</rptOwnerCik>
            <rptOwnerName>HealthCor Group, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>55 HUDSON YARDS, 28TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10001</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001519462</rptOwnerCik>
            <rptOwnerName>HealthCor Partners Management LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1325 AVENUE OF THE AMERICAS, 28TH FL.</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10019</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001519463</rptOwnerCik>
            <rptOwnerName>HealthCor Partners Management GP, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1325 AVENUE OF THE AMERICAS, 28TH FL.</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10019</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001408660</rptOwnerCik>
            <rptOwnerName>HealthCor Partners Fund LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1325 AVENUE OF THE AMERICAS, 28TH FL.</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10019</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001519456</rptOwnerCik>
            <rptOwnerName>HealthCor Partners LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1325 AVENUE OF THE AMERICAS, 28TH FL.</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10019</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle></officerTitle>
            <otherText></otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2019-10-29</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>17090941</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>4.28</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnotes</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2019-10-29</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>15409537</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>4.28</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnotes</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2019-10-29</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>19981655</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>4.28</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable></derivativeTable>

    <footnotes>
        <footnote id="F1">Disposed of pursuant to merger agreement by and among Issuer, Siemens Medical Solutions USA, Inc., and Corpus Merger, Inc., for a cash payment of the per share price noted.</footnote>
        <footnote id="F2">HealthCor Partners Fund, L.P. (&quot;HCP Fund&quot;) is a private investment partnership which is the direct beneficial owner of the securities reported herein. The shares held by HCP Fund may be deemed to be beneficially owned by HealthCor Partners L.P. (&quot;HCPLP&quot;), its general partner, and by HealthCor Partners GP, LLC (&quot;HCPGP&quot;), the general partner of HCPLP.   Each of HCPLP and HCPGP hereby disclaims any beneficial ownership of shares held by HCP Fund except to the extent of any pecuniary interest therein.</footnote>
        <footnote id="F3">HealthCor Partners Fund II, L.P. (&quot;HCPII Fund&quot;) is a private investment partnership which is the direct beneficial owner of the securities reported herein. The shares held by HCPII Fund may be deemed to be beneficially owned by HealthCor Partners II, L.P. (&quot;HCP2LP&quot;), its general partner, and by HCPGP, the general partner of HCP2LP.   Each of HCP2LP and HCPGP hereby disclaims any beneficial ownership of shares held by HCPII Fund except to the extent of any pecuniary interest therein.</footnote>
        <footnote id="F4">HealthCor Partners Management, L.P. (&quot;HPMLP&quot;) serves as the investment manager to each of HCP Fund and HCPII Fund, and HealthCor Partners Management GP, LLC (&quot;HCPMGP&quot;) serves as the general partner of HPMLP.  Jeffrey C. Lightcap, Arthur Cohen and Joseph Healey are managing members of HCPMGP and HCPGP. Each reporting person disclaims beneficial ownership of shares held by HCP Fund or HCPII Fund except to the extent of any pecuniary interest therein.  Mr. Lightcap has separately filed a Form 4.</footnote>
        <footnote id="F5">HealthCor Hybrid Offshore Master Fund, L.P. (&quot;Hybrid Fund&quot;) is a private investment partnership which is the direct beneficial owner of the securities reported herein. The shares held by Hybrid Fund may be deemed to be beneficially owned by HealthCor Hybrid Offshore GP, LLC (&quot;Offshore GP&quot;), its general partner, and by HealthCor Group, LLC (&quot;Group&quot;), the general partner of Offshore GP. HealthCor Management, L.P. serves as the investment manager to Hybrid Fund and HealthCor Associates, LLC (&quot;Associates&quot;) serves as the general partner to HealthCor Management, L.P. Arthur Cohen and Joseph Healey are managing members of Associates and Group. Each reporting person disclaims beneficial ownership of shares held by Hybrid Fund except to the extent of any pecuniary interest therein.</footnote>
    </footnotes>

    <remarks>HealthCor Management, L.P. is the designated filer on behalf of the reporting persons listed on Exhibit 99.1, attached hereto.  Due to the number of reporting persons, this is one of two Form 4's filed relating to the same securities.</remarks>

    <ownerSignature>
        <signatureName>HealthCor Management, L.P., By:  HealthCor Associates, LLC, its general partner, By: /s/ Anabelle P. Gray, General Counsel</signatureName>
        <signatureDate>2019-10-31</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>HealthCor Associates, LLC, By: /s/ Anabelle P. Gray, General Counsel</signatureName>
        <signatureDate>2019-10-31</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>HealthCor Hybrid Offshore GP, LLC, for itself and as general partner on behalf of HealthCor Hybrid Offshore Master Fund, L.P., By:  HealthCor Group, LLC, its general partner, By: /s/ Anabelle P. Gray, General Counsel</signatureName>
        <signatureDate>2019-10-31</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>HealthCor Group, LLC, By: /s/ Anabelle P. Gray, General Counsel</signatureName>
        <signatureDate>2019-10-31</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>HealthCor Partners Management LP, By:  HealthCor Partners Management GP, LLC, its general partner, By: /s/ Anabelle P. Gray, General Counsel</signatureName>
        <signatureDate>2019-10-31</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>HealthCor Partners Management GP, LLC, By: /s/ Anabelle P. Gray, General Counsel</signatureName>
        <signatureDate>2019-10-31</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>HealthCor Partners L.P., for itself, and as general partner on behalf of Healthcor Partners Fund, L.P.,  By: HealthCor Partners GP, LLC, its general partner, By: /s/ Anabelle P. Gray, General Counsel</signatureName>
        <signatureDate>2019-10-31</signatureDate>
    </ownerSignature>
</ownershipDocument>
