The Academy Award-winning Argo writer is reworking David S Goyer's script for the untitled Man of Steel sequel, according to The Hollywood Reporter.
Terrio has a long-standing relationship with Ben Affleck, who will take on the role of Batman in the 2015 DC Comics film.
Henry Cavill will reprise his role as Superman while Gal Gadot will play Wonder Woman.
Amy Adams, Diane Lane and Laurence Fishburne will return for the sequel. Game of Thrones' Jason Momoa is reportedly in talks for a part in Zack Snyder's superhero movie.
Earlier this week, it was reported that Joaquin Phoenix has been approached to take on the role of Lex Luthor.
Superman vs Batman is scheduled for release on July 17, 2015.
Watch Henry Cavill talk about the Man of Steel sequel below:
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