Nicolo Barella and Lorenzo Pellegrini got the goals as Italy claimed their first victory in UEFA Nations League Group A3 by beating Hungary 2-1 on Tuesday.
Three days after holding Germany to a 1-1 draw in their first fixture of the campaign, the Azzuri moved to the top of the table with a win in Cesena.
Italy were 2-0 ahead by half time but an own goal from Gianluca Mancini on 61 minutes set up a slightly nervy finish for Roberto Mancini's side.
Highlights: Italy 2-1 Hungary
Elsewhere in Group A3, Harry Kane converted a late penalty kick to earn England a 1-1 draw with Germany in Munich.
England are Italy's next opponents. They meet at Wolverhampton's Molineux Stadium on Saturday in a repeat of the Euro 2020 final.
There will only be a small crowd at Molineux due to a UEFA punishment given to England for the misbehavior of fans at their last game against Italy.