The 26-year-old Lost In Translation star is said to be up for the female lead role, while The King’s Speech actor, 50, is reportedly being lined up to play a major supporting role.
The new thriller sees an auction house employee recruit a gang of thieves to steal a valuable painting.
But, following a blow to the head, he wakes up with amnesia and forgets the location of the stolen painting, which leads to the suspicious thieves hiring a female hypnotist to help track it down.
Filming for the flick, which is being produced by Boyle and Christian Colson, is expected to start this autumn.