Eli Roth and Peaches Geldof share a kiss in his car as they cruise through Hollywood

The new couple were spotted kissing in his white Ford convertible as they cruised down Sunset Boulevard on Monday.

Geldof and Roth, 37, prompted speculation they were dating after they arrived hand-in-hand at the Vanity Fair bash on Sunday night.

In the awards, they cosied up on a sofa for photos, appearing every inch a couple in love.

Earlier that evening, Roth had joined his Inglourious Basterds co-stars Diane Kruger, Christoph Waltz and director Quentin Tarantino on the red carpet of the Oscars.