by Free Britney at . Comments

Michelle Williams and Spike Jonze, who were recently spotted getting cozy in Brooklyn, have taken their relationship bicoastal.

The actress and the director shared an intimate dinner at Little Dom's in Los Angeles' Los Feliz neighborhood on August 2.

According to a fellow diner, Michelle Williams and Spike Jonze started off their late-night meal sitting across from each other.

"During dinner they would lean in and kiss each other over the table," the diner says.

By the end of the meal, Michelle Williams had hopped into Spike Jonze's lap and the pair were smooching, according to onlooker.

Jonze, the ex-husband of Sofia Coppola, produced Williams' film Synecdoche, New York. Williams is the former fiance of the late Heath Ledger.

At a Brooklyn deli, the director "had his arm around [Williams] and kissed her on the cheeks, then on the lips," witnesses reported recently.