He played for Slovak clubs Football Club Dunajska Streda between 2001 and 2007 and Artmedia Bratislava between 2007 and 2008. In early 2008 he joined the Hungarian team Football Club Fehérvár, where he played only four games, but during this short period he scored a remarkable own goal against Debreceni VSC in the Hungarian Cup quarter final on 27 March 2008. The match was heading towards extra time, when Debrecen was awarded a penalty in the last minute, which was saved by the goalkeeper of Football Club Fehérvár, but the ball bounced back to the penalty spot and the arriving Ďurica, desperately wanting to clear to the stands, hammered it into his own goal clipping the post.
The video of the own goal immediately became a major hit on the internet, producing millions of downloads within only a few days.
A few days after this match Ďurica was released from Football Club Fehérvár because he failed to show up for a training with the reserves, and subsequently he returned to Artmedia Bratislava. He is the brother of Slovak international Ján Ďurica.