 Maze akaita mutambo wake wokutanga paWorld Cup aine makore 15 kuSlovenia muna Ndira 1999, munhangemutange ye giant slalom kuMaribor. Mumwaka wake wekutanga weWorld Cup, Maze akakwikwidza mu slalom, giant slalom, uye super-G, asi akawana mapoinzi eWorld Cup chete muzvikamu zviviri zvekutanga. Pa 2001 World Championships, Maze yakanakisisa mugumisiro aiva 16th nzvimbo muna slalom. Muna January 2002, Maze akawana nzvimbo yake yokutanga, nzvimbo yechipiri mu giant slalom muMaribor. PaMitambo yeOlympic yeChando ya2002 muUnited States, Maze akapedza ari mugumi nembiri muchikamu che giant slalommumutambo wake wokutanga weOlympic muPark City, Utah. 