In individual Grossman reached in 1989 and 1990, the second round of the French Open and 1994 U.S. Open. In doubles, she could advance in 1994 at the Australian Open to the quarterfinals. In mixed it stood in 1994 at the Australian Open in 1993 and 1995 as well as at the French Open in the second round.
In 1993, she played twice for the Fed Cup team in the United States. She won silver in singles and doubles at the Pan American Games in 1995.