Career
Savić started his senior career with Dinamo Pančevo, before moving to Proleter Zrenjanin in 1994. He was transferred to in the summer of 1997, alongside his teammate Milan Stojanoski. Both players moved to Israeli club Beitar Jerusalem in the summer of 2000, before returning to the following season.
He appeared in all six group stage matches.
Savić subsequently moved abroad for the second time by joining Chinese club Liaoning Zhongyu in 2004. After returning to his homeland, Savić played for his former club Proleter Zrenjanin, Budućnost Banatski Dvor, as well as for the newly formed Banat Zrenjanin.