Kim Kardashian WestandPete Davidsonare continuing to spend time together.

Kardashian, who is in New York City this week, paid a visit to theSaturday Night Livestar’s native Staten Island on Tuesday night, PEOPLE confirms. The two dined privately.

TMZwas first to report the news. According to the outlet, they went to Campania, an Italian restaurant.Page Sixadditionally reported that Davidson, 27, arranged a dinner for the pair on the rooftop.

Davidson and Kardashian, 41, recently made headlines following her October guest-hosting stint onSNL. During the episode,they kissedfor a sketch where they played Disney couple Jasmine and Aladdin.

For more onKim KardashianWest andPete Davidson’s dinner date and other top stories, listen below toour daily podcast PEOPLE Every Day.

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Pete Davidson and Kim Kardashian

“They hang in the same circles so they will be together from time to time,” a source told PEOPLE of Kardashian and Davidson on Saturday. “It’s just friends hanging out.”

This week, however, a separate source told PEOPLE the two starsdo “have chemistry.”

“Pete can be super charming and Kim loves the attention,” said the source, adding that Kardashian is “having fun and enjoying life” in the wake of her split fromKanye West.

“Her focus is still on her kids and work, but you can tell that she is ready to date,” the source said. “She is very happy and in a good place. She has moved on from Kanye and feels it’s for the best.”

The KKW Beauty creator shares daughtersNorth, 8, andChicago, 3½, as well as sonsSaint, 5½, andPsalm, 2, with West. Since Kardashianfiled for divorcefrom the 44-year-old rapper in February, the former couple hasfocused on co-parenting peacefully.

“It’s very important to her that the kidsspend as much time as possible with Kanye,” a source previously told PEOPLE. “Kim is trying to be supportive. She is focused on co-parenting. Nothing has changed. They are still moving forward with the divorce.”

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As for Davidson, PEOPLE confirmed in August that the comedian had split fromBridgertonstarPhoebe Dynevorafter about five months together.

He was alsobriefly engagedtoAriana Grandein 2018, and previously datedKaia Gerber,Kate BeckinsaleandCazzie David.

source: people.com