 Kutlíková's best finish at the FIS Nordic World Ski Championships was 23rd in the 30 km event at Thunder Bay, Ontario in 1995.Her best World Cup finish was 17th in a 30 km event in Slovakia in 1996.Kutlíková's best career finish was ninth twice in an FIS race at the Czech Republic in the same weekend in 1997 (5 km, 10 km).