Whilst playing for South Melbourne FC in 2006, Djulbic won a Victorian Premier League Champions medal with a stunning defensive performance against Altona Magic in the Grand Final.

Following a successful season at South Melbourne, Djulbic attracted attention from various A-League sides before impressing the Perth Glory coaching staff when on trial with the club in 2006 and was subsequently signed.

He appeared in the club's only 2009–10 final, and continued to be a regular starter in the 2010–11 season, contributing three goals whilst helping maintain Gold Coast's solid defence.

Djulbic was rewarded for consistent performance and being a crucial part of Guizhou's AFC Champions League ambitions by making the CSL's XI (All Star Team 2012).

[9] In January 2018, Djulbic returned once more to the A-League, joining Melbourne Victory on a short-term deal as a replacement for the injured James Donachie and for Thomas Deng who was called up to the national under-23 team.

In 2012 during the 2013 EAFF East Asian Cup qualifiers, Djulbic made his Australian national team debut when he featured in two of the Socceroo's Preliminary Round 2 matches against Guam and Chinese Taipei.