One of the most well-known Italian Christmas carols outside of the US is Caro Gesu Bambino which means "Dear Baby Jesus." It's a newer carol, dating to about 1960 and one of the earliest American-known singers to cover it was Frankie Avalon. The lyrics are here (Italian and English) if you are interested, and below, Italian treasure Andrea Bocelli does a beautiful version of the song. Buon Natale my friends! And Buone Feste to those of you who are celebrating other holidays. I wish the best for you and yours this season.