Michelle Williams was seen kissing director Spike Jonze during a romantic dinner in Los Angeles recently.

The 'Brokeback Mountain' actress - who has a two-year-old daughter Matilda with former fiance Heath Ledger, who died of an accidental drugs overdose in January - sparked rumors she had started dating the director when they were spotted looking "intimate" on a recent trip to New York.

The 27-year-old actress has further fuelled relationship rumors after she and Spike "smooched" throughout their meal at the Little Dom's restaurant in Los Angeles' Los Feliz neighborhood on August 2.

An onlooker said: "During dinner they would lean in and kiss each other over the table. By the end of the meal, Michelle was sitting on Spike's lap and they were smooching."

Earlier this month, Michelle and 38-year-old Spike - who is producing Michelle's new film 'Synecdoche, New York' - caught the attention of fans as they walked hand in hand around New York.

As they perused a delicatessen, a fellow shopper commented: "Spike had his arm around Michelle and kissed her on the cheeks, then on the lips."

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