In the following seasons, Kopač continued to qualify consistently for the free skate at the European Championships. In 1996, she reached the final segment at the World Championships for the first time in her career; she ranked 7th in her qualifying group, 15th in the short, 18th in the free, and 18th overall at the event in Edmonton, Alberta, Canada. The next season, she finished 20th at the 1997 World Championships in Lausanne after placing 13th in her qualifying group, 13th in the short, and 22nd in the free.