The new couple dined at posh eatery La Dolce Vita, reported Us magazine.
The 'Hunger Games' actress and Coldplay frontman's time together did not stop there, either. The following day, the duo apparently spent the entire day together.
It was previously reported that Gwyneth Paltrow's ex-husband as been working hard at winning over Lawrence.
Lawrence, 24, even spotted attending a Coldplay concert last month. The budding romance began soon after Lawrence had split with longtime boyfriend Nicholas Hoult over the summer.