In the late 1950s and 1960s, Pulver was involved in a number of American and French film productions. Her first Hollywood film was Douglas Sirk's war melodrama "A Time to Love and a Time to Die" (1958), in which she and John Gavin played a young German couple whose happiness is doomed at the end of the Second World War. She was James Cagney's attractive secretary "Fräulein Ingeborg" in Billy Wilder's comedy "One, Two, Three" (1961). In 1963, for her role as a Russian woman in "A Global Affair", she was nominated for a Golden Globe Award as best supporting actress. In France, she appeared alongside Anna Karina in Jacques Rivette's film "The Nun" (1966)