Possible Clues:

• Dean Martin classic
• Words after "When the moon hits your eye like a big pizza pie"
• Dean Martin's signature "love" song
• 1953 Dean Martin song full of Italian words
• Song title following the lyric "Scuzza me, but you see, back in old Napoli ..."
• Song featured in "Moonstruck"
• Dean Martin signature tune
• Martin classic
• 1953 hit that mentions 'old Napoli'