Ku sii wad qodobkan - Cvitan wuxuu ku dhashay Šibenik (oo markaas ahayd Yugoslavia). Wuxuu markii ugu horreysay u saftay kooxda C ee Yugoslavia ee Olombikada Chess-ka ee 1990, oo lagu qabtay Novi Sad, isagoo diiwaangeliyay dhibco wanaagsan oo ku saabsan guddiga koowaad. Olombikada Manila ee 1992
, wuxuu u ciyaaray kooxda labaad ee Croatia wuxuuna kasbaday billad dahab ah shaqsi ahaan. Cvitan wuxuu ka qeyb galay tartanka FIDE World Chess Championship 2002, halkaas oo uu ku garaacay wareegga koowaad Alexander Lastin.