In 1962, Saubert earned a spot on the U.S. Ski Team and her first international competition was the 1962 World Championships in Chamonix, France, where she finished sixth in the giant slalom. In 1963 and 1964, she was the U.S. downhill and giant slalom champion, and also won the slalom and combined national championships in 1964. She won a total of 8 U.S. championships in her racing career.