Dujmović stated playing football in lower league club NK Sava Zagreb where he was noticed by Croatian giants Dinamo Zagreb. But he never managed to get senior cap for Dinamo so he was forced to leave club in 2000. Next six years he played for Croatian yo-yo clubsHrvatski Dragovoljac, Inter Zaprešić and Međimurje before leaving for Russia in 2006.
Russia
Dujmović joined Amkar Perm of Russian Premier League where he soon proved himself as one of the best defensive midfielders in league. After his contract with Amkar expired, Dujmović joined Lokomotiv Moscow where he stayed only for season and half before transferring to Lokomotiv's city rivals Dynamo Moscow for 3 million Euro. Dujmović was a regular first team member in Dynamo, but subsequently lost his place after arrival of new manager Sergei Silkin.