Sinatra only did a few songs in Italian (unlike Dean Martin). Here is Come Back To Sorrento (1950) for the Sinatra 100th Birthday Celebration
I Have But One Heart (1945) has some verse in Italian (in the middle):
As Frank Sinatra said: "May you live to be 100 and may the last voice you hear be mine."
Mark Steyn: I've Got You Under My Skin (Porter Riddle Sinatra Synergy) and East of the Sun (West of the Moon)
Bob Belvedere/Camp of the Saints: Sinatra's Best 82 through 80, 76-74 Birth of the Blues and 73-71 from Coffee Song to It All Depends on You