Ingmar Bergman tried to live in LA for a summer but as soon as Barbra Streisand called

I never read about that before. A little backstory might be useful here. I wonder if this may have had something to do with a film that the two were planning together that never materialized. In 1972 Streisand asked Bergman to direct her in a film version of the operetta The Merry Widow. He wrote the script but she only liked the first half and asked him to rewrite. He refused so she abandoned her plans and the film never happened.