Italy cruised previous Malta to maintain alive their hopes of toppling England to win Group C.
Giacoma Bonaventura, 34, scored his first worldwide aim for the dominant hosts, earlier than Domenico Berardi struck twice.
Davide Frattesi tucked an effort contained in the submit for the fourth in damage time.
Italy moved three factors behind group leaders England, who they face at Wembley on Tuesday night time, with three video games left.
Defending European champions Italy are stage on 10 factors with third-placed Ukraine, who beat North Macedonia 2-0, and can want a minimum of two extra wins to qualify for Euro 2024.
Victory for England, nonetheless, on Tuesday would see the Three Lions win the group.