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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2021-09-30</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001819263</issuerCik>
        <issuerName>Montes Archimedes Acquisition Corp</issuerName>
        <issuerTradingSymbol>MAAC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001826519</rptOwnerCik>
            <rptOwnerName>Walker Maria C</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O MONTES ARCHIMEDES ACQUISITION CORP.</rptOwnerStreet1>
            <rptOwnerStreet2>2884 SAND HILL ROAD, SUITE 100</rptOwnerStreet2>
            <rptOwnerCity>MENLO PARK</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94025</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Financial Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <footnotes></footnotes>

    <remarks>The reporting person resigned immediately prior to the business combination and ceased to be a reporting person with respect to the issuer.</remarks>

    <ownerSignature>
        <signatureName>/s/ Maria C. Walker</signatureName>
        <signatureDate>2021-10-01</signatureDate>
    </ownerSignature>
</ownershipDocument>
