Mr. Khan, who was at home in both commercial and art-house projects, stood out in Bollywood for his versatility and his nuanced performances. He first gained the notice of international audiences in the BAFTA-winning film “The Warrior” (2001), in which he had the lead role of a renegade warrior in feudal India.

In India, he was best known for his performances in “Maqbool,” “Haasil,” “Paan Singh Tomar,” “Piku,” “The Lunchbox” and “Hindi Medium.”

His portrayal of a man investigating a double homicide in the 2015 Hindi movie “Talvar” prompted Rachel Saltz of The New York Times to write: “Mr. Khan is this movie’s best weapon. Playing a familiar character type, the world-weary detective, he gives a performance, full of small, sly details, that doesn’t seem familiar at all.”