The duo was spotted flirting at the Golden Globes after-party at the Beverly Hilton on January 10.
In some photographs obtained by Mail Online, Perry was seen chatting intimately with Bloom, reports aceshowbiz.com.
One of the images showed the “Roar” singer smiling widely as he whispered something in her ear. The pair reportedly left the glamorous party together through a side entrance with security guards leading the way.
Later in the night, Perry and Bloom reportedly hit another party.
The “Teenage dream” hitmaker donned a pink cleavage-baring long dress with a beehive hairstyle. The “Troy” actor, meanwhile, rocked a classic black tuxedo.
Neither the singer nor the actor’s representatives have commented on the dating rumours yet.
Perry was previously married to comedian Russell Brand before their split in 2012.
She has been dating on-and-off with singer John Mayer. Bloom, meanwhile, was married to model Miranda Kerr for three years before their separation in 2003.