Strindberg appeared as Anita Edberg in two Swedish films in the late 1950s. She started her career in gialli with Lucio Fulci's A Lizard in a Woman's Skin in 1971 and starred in her first lead role that same year, in the Sergio Martino-directed The Case of the Scorpion's Tail. In 1972, she starred in two more gialli: Aldo Lado's Who Saw Her Die? and Martino's Your Vice Is a Locked Room and Only I Have the Key.