A product of Dinamo Zagreb Academy, Drpić turned professional in 2000 and went on to spend nine years with the club.

He debuted for the first team in a UEFA Champions League qualifiers return match at A.C. Milan on 9 August 2000,[2] and was one of the key figures in Dinamo's squad in the upcoming seasons.

[4] After Karlsruhe, Drpić had brief spells with AEK Athens in Greece and Volyn Lutsk in Ukraine before returning to Croatia in March 2012, signing for HNK Rijeka.

[8] Drpić was married to Playboy model and singer Nives Celzijus, with whom he has children Taiša and Leone.

[9] While on holiday in Krk in the summer of 2008, a British couple tried to kidnap their son Leone after mistaking him for Madeleine McCann.