Her first World Cup season (1993/94) was also her most successful. On January 17, 1994, she won her only World Cup race, the Super-G in Cortina d'Ampezzo (ex-aequo victory with Pernilla Wiberg ). Even more surprising was winning the bronze medal in the alpine combination at the 1994 Winter Olympics in Lillehammer a few weeks later . At the end of the season she finished 13th in the overall World Cup.
Dovžan achieved places in the top ten in all disciplines, although from the end of the 1990s to the end of her career in 2003 she only focused on giant slalom and slalom .