"Grace of Monaco" has been helmed by French director Olivier Dahan.
"Doing the Cannes thing," Uday posted on Twitter Wednesday.
Rumours are doing the round that the "Dhoom" star will walk the red carpet with Hollywood actress Nicole Kidman and others associated with the film, but nothing official has come out so far.
Jointly produced by Pierre-Ange Le Pogam, Uday (YRF Entertainment) and Arash Amel, the film also features Tim Roth.
Set in the 1950s, "Grace of Monaco" portrays a period in the life of Grace Kelly, who became Princess Grace of Monaco when she married Prince Rainier III in 1956, in what was dubbed "the marriage of the century".