According to reports from the US, the impossibly good looking pair were clocked catching a showing of Gary Barlow's new musical Finding Neverland earlier this week.
They've also apparently been seen out with groups of friends on other occasion!
But, according to E! News, actor Bradley, 40, and model Irina, 29, are just having fun getting to know each other and aren't rushing to get into anything serious.
Bradley announced his split from actress/model girlfriend Suki Waterhouse earlier this year, while Irina recently parted ways with long-time partner, footballer Cristiano Ronaldo.
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