At a news conference, Italian prime minister Giuseppe Conte confirmed Monday's (AEDT) fixtures in the Lombardy and Veneto regions — including the Hellas Verona-Cagliari and Atalanta-Sassuolo clashes — would not go ahead.
The move comes as part of preventative measures against the spread of the coronavirus, officially named Covid-19, after two people died and dozens more reportedly tested positive.
Sunday'd (AEDT) scheduled Serie B match between Ascoli and Cremonese was earlier postponed and up to 88 amateur football matches were also called off, according to Italian news agency ANSA.
In a short statement, Inter announced only that its meeting with Sampdoria at San Siro was postponed "to a later date".
The third-placed Nerazzurri sit six points behind Serie A leader Juventus, which won 2-1 against SPAL on Sunday (AEDT).
Monday's (AEDT) three other games are expected to go ahead as planned.
Genoa is due to host title-chasing Lazio, with Torino to face Parma and Roma entertaining Lecce.