Morton found wider recognition and mainstream success when she took on the part of a senior precog in Steven Spielberg science fiction thriller "Minority Report", opposite Tom Cruise. Although critics felt she was "slightly typecast" in her role of "feral, near-mute victim", "Minority Report" grossed US$358 million. She won the Saturn Award for Best Supporting Actress and the Empire Award for Best British Actress. In her next film, the drama "Morvern Callar", she played a grieving young woman from Scotland who decides to escape to Spain after the suicide of her boyfriend. Writing for "Rolling Stone", Peter Travers stated that Morton "fills this character study with poetic force and buoyant feeling", as part of a positive critical response, and she earned the Best Actress Award at the 5th British Independent Film Awards and the 7th Toronto Film Critics Association Awards.