Page Six has reported that Bradley, 40, and Irina, 29, attended a show of Finding Neverland on Wednesday night.
The duo have apparently known each other for a long time after being introduced by mutual friends, and have been "hanging out" for the past week.
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Bradley Cooper and Irina Shayk have been "hanging out" for the past week
"[It is] a friendly relationship – for the time being," a source told the publication.
Both Bradley and Irina have recently come out of long-term relationships. The American Sniper actor and his girlfriend-of-two-years Suki Waterhouse split in February of this year, but only made their break-up public the following month.
The pair still remain great friends and were recently spotted catching up at Coachella music festival. It wasn't clear if Bradley and Suki, 23, were spending the weekend together, or had bumped into each other, but it certainly looked like there were no hard feelings.
Irina, meanwhile, ended her five-year relationship with Cristiano Ronaldo over Christmas last year. The Russian model made the painful decision on New Year's Eve at the couple's home in Madrid, after confronting the 30-year-old football player.
Irina Shayk and Cristiano Ronaldo ended their five-year relationship over Christmas
News of their split surfaced in January, after Irina rang in the end of 2014 crying alone at the airport. When asked what she looked for in a man shortly after the announcement, Irina replied cryptically: "I love honest men and I love a man who is loyal to women."
A week later a close friend of hers spoke to HELLO! Online, saying: "She was in shock and completely devastated. It wasn't a decision she took lightly."
They added: "She then left immediately and spent New Year's Eve crying alone in the airport before flying to the Maldives, where she spent her birthday alone. Irina always chose to stand by her man. There was no way around it as the truth was staring at her in the face. After much thought and consideration, she felt she couldn't ignore the signs."