The Maroon 5 frontman reportedly formed a bond with the 72-year-old Oscar-winning actor at a charity gold event several years ago and is mentoring the 'Goodfellas' star in the studio.
A source close to 'The Voice' USA star said: ''They hang out and play music. Joe is really focused on music now. He's really inspired.
''They kicked around some songs and recorded some stuff together.''
While the pair have already recorded a number of tracks, they haven't decided whether to release them in the future.
The insider told Us Weekly magazine: ''It was just a thing they did while having fun.''
Adam's close pal Jonah Hill, whose brother Jordan Feldstein manages the 'Moves Like Jagger' hitmaker and his group, is also friends with Joe and previously claimed the legendary actor once put his fingers up his butt.
He said: ''I love Joe Pesci. I mean who doesn't? He's the best. 'Goodfellas' is my favourite film of all time and his performance is my favourite.''
But recalling their bizarre encounter at a 'Wolf of Wall Street' premiere, he said: ''He goes, 'You're great in the movie, kid, I'm really proud of you.' And I'm like, 'Thank you, your acting means so much to me.' And he goes, 'Here's what I want you to do: I want you to go buy a helmet.' And I go, 'okay...' He goes, 'I want you to keep the helmet next to your bed and then every night, I want you to go in the bathroom and put the helmet on -- every night,' And if ever the helmet doesn't fit, it's because too many people are going up here.' And he puts his fingers in my ass!''
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