On 30 October 2005, she appeared on stage at the Old Vic theatre in London in a rehearsed reading of the 24-hour play "Night Sky", alongside Christopher Eccleston. In 2006, Burrows was the female lead in the New Zealand thriller "Perfect Creature". That same year, she worked with Chilean director Raoul Ruiz on "Klimt", his cinematic version of the life of Gustav Klimt. In this film, she played opposite John Malkovich as the artist's lover, a woman of many personalities and nationalities.