The couple have allegedly been spending time in Los Angeles in the last few weeks and spotted hanging out at the 'Mr Selfridge' star's Malibu home, reported Ace Showbiz.
"She was immediately taken by his dashing good looks. It's too early to say how serious things will get, but the initial attraction was definitely there on both sides," a source said.
Brook, 33, has previously dated Hollywood hunks such as Jason Statham and Billy Zane. Meanwhile, Piven, 48, had been rumored close to model Sophie Turner, actress January Jones and most recently, singer Alexandra Burke.
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