The actor's production company, Plan B, "has expressed potential interest in the story," says company representative, Jon Liebman, CEO of Brillstein Entertainment Partners.
"Like so many people worldwide, Plan B has been incredibly moved by the story of the Chilean miners and their families," says Liebman.
A lawyer for the miners, Edgardo Reinos Lundstedt, tells the Santiago, Chile, daily El Mercurio that Plan B made an offer in the millions.
But Liebman tells PEOPLE, "There have not yet been serious discussions."
Among Plan B's other movies have been A Mighty Heart, with Angelina Jolie; The Time Traveler's Wife, with Eric Bana; Eat Pray Love, with Julia Roberts; and Kick-Ass.