[2] In the 1991–92 season, Kopač won her first senior national title and was sent to her first ISU Championship, the 1992 Europeans in Lausanne, Switzerland, where she placed 23rd.
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.
[4] In April, she placed 24th (12th in her qualifying group, 23rd in the short, 24th in the free) at the 1998 World Championships in Minneapolis, Minnesota, USA.
In November 2001, Kopač competed at the Golden Spin of Zagreb, the final Olympic qualifying opportunity.
Her placement gave Slovenia a spot in the ladies' figure skating event at the 2002 Winter Olympics in Salt Lake City, Utah.