Harry Styles and Zoe Kravitz's fling 'turning into something more' as things ramp up

Harry Styles and Zoe Kravitz seem to not be able to get enough of each other as they were spotted getting cosy on another outing while globe trotting. The pair, who are doing nothing to fight off romance rumours, stepped out in Brooklyn togetherthis week arm in arm.

It comes after they were first spotted on what looked like a date in Soho, London where they were "snogging like teenagers".Just days later, Harry, 31, and Zoe, 36, jetted to Rome where they linked arms and took in the sights.

Batman actressZoe is said to be "whisked off her feet" by One Direction's Harry. Their latest outing together fuelled rumours even more as Harry was snapped with his arm around Zoe while they walked down a street.

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While both Harry and Zoe have remained tight lipped on the potential romance, it has been claimed there certainly is something brewing between them.

"They both like each other and friends don't know who likes each other more but it is turning into something more than just a casual situation," a source told the Daily Mail."They might not want to think it is, but surprise surprise, it is getting interesting."

They added: "Even with the lack of labels, or labels that aren't official boyfriend and girlfriend status, they are just kidding themselves, their friends see this could be something special and if they want to make it into that, they should."

The source added that Zoe and Harry have "no reason to play games". Both Harry and Zoe have found themselves in high profile romances before, with the actress splitting from Magic Mike's Channing Tatum last October.

They had been engaged but broke things off after three years together. Harry also split from actress Taylor Russell last year following 14 months together.

He had also had a fling with now-engaged Taylor Swift, who is close friends with Zoe. Some fans havefeared Zoe could get on the wrong side of Taylor,who has previously expelled members of her circle when loyalties changed.

As the pair grow closer, it has been claimed Harry is a "romantic" and that anyone who dates him gets treated "so well".

Another source told The Sun that Zoe considers Harry to be "cool without trying" and even compared him to her famous father Lenny Kravitz.

They said: "Zoë thinks Harry is cool without trying and that is a very attractive quality in ­Hollywood, when most people are too busy trying to desperately break through or stay relevant.

"[Harry] treats everyone the same, whether they are famous or not, and she's found that refreshing. Lenny is like that, and growing up with such a famous dad, that ethos was instilled in Zoë - to be kind, to never be a diva."

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