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"It's a pretty new relationship," the insider adds of Bell, 43, and Rock, 57. "They are getting to know each other and seem to have fun."
"She is having fun dating though," the insider says. "Chris is currently touring and very busy too. They see each other when they have time."
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In a photo exclusive to PEOPLE, Rock and Bell were seen outside restaurant Giorgio Baldi over the weekend, where the comedian wore a light-colored long-sleeved top and trousers, finishing the look in brown shoes.
The actress/director, meanwhile, kept it similarly casual in a pair of flared pedal-pusher jeans, a black crop top and matching shoes.
A source at the Italian eatery tells PEOPLE that the two "had a late dinner date" that "looked romantic," adding, "Not too much PDA, but you could tell from the smiles and laughter that they had fun."
"They shared some popular pasta dishes and seemed to enjoy their date," the Giorgio Baldi insider shares.
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Bell and Rock were also spotted dining at Santa Monica's Coast restaurant Sunday, as seen in a photo obtained by TMZ. The outlet also reports that the pair were previously spotted together at a St. Louis Cardinals game.
Bell and Campbell, 45, her husband of seven years, announced their split in October 2020.
Reps for Bell and Rock have not responded to PEOPLE's requests for comment about the nature of their relationship.