At least 38 people were killed when one of the bridge’s supporting towers collapsed in torrential rain on Tuesday.
Genoa and Fiorentina, who are both based in the city, asked to have their Sunday fixtures postponed following the tragedy.
Their opponents and Lega Seria A agreed to the requests and the matches will now be rescheduled.
In a statement, Serie A confirmed new dates for the fixtures would be announced in the coming days.
