The 'Mr Selfridge' star is said to have looked ''smitten'' with the model and presenter as the pair partied at DJ Nick Grimshaw's 30th birthday party over the weekend.
A source told The Sun newspaper: ''Jeremy and Zara seemed smitten with each other. They were very close, holding hands throughout.''
The 49-year-old actor - who has previously been romantically linked to brunette beauty Kelly Brook, and popstar Alexandra Burke - recently opened up about his requirements for a partner, emphasising they should be ''opinionated'', ''funny'', and ''incredibly beautiful''.
He explained:''I want someone who has her own voice, who's opinionated and funny, who isn't afraid to make a fool of herself.
''I'm a very visual person, so incredibly beautiful would work.''
Jeremy was also spotted flirting with stunning model Nina Agdal earlier this year as they pair took part in a cycling competition in New York City in April.
A source said at the time: ''They were definitely flirting and chatting a quite a bit, although that's not out of character for Jeremy.''
They then took their flirtation one step further on Twitter, when Nina, 22, thanked the hunky actor for competing with her in the contest,
She wrote: ''Had so much fun riding for charity @FoodBank4NYC with @Flywheel @Kiehls thanks to @jeremypiven for competing with me. (sic)''.
Jeremy replied: ''I want a rematch.''
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