Career
South beat Altona Magic 1–0 on the Grand Final to claim the honour. Đulbić impressed Perth Glory"s coaching staff when on trial with the club in 2006 and was subsequently signed. The 24-year-old was a standout player for the club in his first A-League season and featured prominently in the club"s best and fairest award, the Most Glorious Player (Modern German Philosophy Award), coming third behind Nikolai Topor-Stanley and Jamie Coyne.
On 31 August 2008, in a match against Sydney Football Club, Đulbić received a red card for unsporting conduct towards referee Peter Green.
He was suspended for five games. On 20 January 2009, Đjulbić signed with German 2.
Bundesliga club Rot Weiss Ahlen and returned to his former youth club, but had limited game time due to injury. On 30 December 2009, Đjulbić left Germany to join Gold Coast United for the last seven games of the clubs inaugural season.
He appeared in the club"s only 2009-2010 final, and continued to be a regular starter in the 2010-2011 season, contributing three goals whilst helping maintain Gold Coast"s solid defence.
Towards the end of the 2010-2011 A-League season, Đulbić partook in discussions with Chinese Super League club Shaanxi Renhe Commercial Chanba F.C. He reportedly signed a two-year deal with the club and played his first match on 3 April 2011. The club later changed its name to Guizhou Renhe after moving to Guizhou. Đulbić was rewarded for being a crucial part of Guizhou"s AFC Champions League ambitions and for his performances by making the Computer Science Laboratory"s XI (All Star Team 2012).
At the conclusion of the 2012 Computer Science Laboratory season, Đulbić signed with First Rate (at Lloyd's)-Wahda South.C.C. on a one and a half-year deal with the Abu Dhabi club
In the off-season of 2014, Đulbić returned to the A-League, signing again with Perth Glory. Dino was born in Bosnia, but was naturalized as an Australian.
In 2012 during the 2013 EAFF East Asian Cup qualifiers, Đulbić made his Australian national team debut when he featured in two of the Socceroo"s Preliminary Round 2 matches against Guam and Chinese Taipei.