Career
Croatia
Budimir started his professional career with HNK Hajduk Split, in the season 2004-2005. In January 2005, he was given on loan from Hajduk Split to NK Uskok and in August 2005, he was given again on loan to NK Mosor. He started the season 2005-2006 with Hajduk split (appearing in two matches), but he was given on loan for the third time to HNK Šibenik in July 2006.
Ergotelis
On 10 January 2007, Budimir moved to Greece and signed a four-year contract with Ergotelis.
He stayed to the Greek club for six seasons, appearing in 139 matches and scoring 24 goals. APOEL
On 4 July 2012, Budimir signed a two-year contract with the Cypriot club APOEL. During his spell at APOEL, Budimir appeared in 30 league matches and scored 4 goals.
On 31 December 2013, APOEL terminated Budimir"s contract with the club by mutual consent. Panetolikos
On 7 January 2014, Budimir returned to Greece and signed a six-month contract with Panetolikos.
He left the club in June.
Enosis Neon Paralimni
In January 2015, Budimir signed a six-month contract with Cypriot Second Division club Enosis Neon Paralimni rejoining his former coach at Ergotelis, Nikos Karageorgiou. On 22 May 2015, it was announced that Budimir had extended his contract with the club APOEL
Cypriot First Division: 1
2012-2013
Cypriot Super Cup: 1
2013.