Pesci, 72, who met the "Voice" coach at a charity golf event, has been friends with him for years, reported Us magazine.
"They kicked around some songs and recorded some stuff together. It was just a thing they did while having fun!," a source said.
Levine, 36 and Pesci often meet outside studio and hangout.
"They are both avid golfers and have becoming golfing buddies. They golf, hang out, and play music," the source said.
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