On 26 October 2002, Maze won her first World Cup race at the season opener in Sölden, Austria. She shared the giant slalom win with Nicole Hosp of Austria and Andrine Flemmen of Norway in the first-ever a three-way tie in a World Cup race. Maze finished the 2003 season on the 38th place in the overall standings with 190 points, all in giant slalom. At the 2003 World Championships, she finished 5th in giant slalom.