Her artistic dreams came early in life and were further supported by her older sister Gerd Andersson who became a ballet dancer at the Royal Opera and made her acting debut in 1951. Bibi, on the other side, had to make do with bit parts and commercials. She debuted in Dum-Bom (1953), playing against Nils Poppe. Eventually, she was able to start at the Royal Dramatic Theatre's acting school in 1954. A brief relationship with Ingmar Bergman made her quit school and follow him to the Malmö city theatre, where he was a director, performing in plays by August Strindberg and Hjalmar Bergman. Bergman also gave her a small part in his comedy Smiles of a Summer Night (1955), and larger roles in his Wild Strawberries (1957) and The Seventh Seal (1957). From the the 1960s she got offers from abroad, with best result in I Never Promised You a Rose Garden (1977). During the civil war in Yugoslavia she has worked with several initiatives to give the people of Sarajevo theatre and other forms of culture.