The couple were photographed in a car together last night (August 1) after dining at Los Angeles's popular restaurant Chateau Marmont, Us Weekly reports.
© WENN
© Rex Features
One onlooker claimed that the couple were "holding hands across the table" during their meal, as well as "sneaking kisses" and laughing.
However, another source alleged: "They're just hooking up right now. It's not serious - yet!"
Perry and Mayer were first spotted together in June, with reports at the end of last month saying that they had been "all over each other" during a visit to Soho House.
Since her divorce from Russell Brand, Perry has been romantically linked to people such as model Baptiste Giabiconi and Florence + the Machine guitarist Robert Ackroyd.
She recently confessed that she is "a woman who likes to be courted".
