Golubović made his debut under coach Zoran Milinković at the age of 18 on April 3, 2013, in a 1–0 away win against Vojvodina.
Roma
On 31 January 2014, it was announced that Italian Serie A giants Roma completed the €1 million (and a variable fee up to a maximum of €0.5 million) signing of Golubović, who has agreed a four-and-a-half-year contract. He was loaned out to Serie B side Novara on loan for the remainder of the 2013–14 season.[2] On 26 August 2014 he was signed by Pistoiese.[3] On 17 July 2015 Golubović was signed by Pisa.[4]