On 1 February 2020, Brunčević joined Singaporean club, Balestier Khalsa playing in the Singapore Premier League on a two-year contract. He scored his 1st goal for the Tigers in the 2nd match of the season against Albirex Niigata (S).[1] Brunčević than went on to score another goal in the 3rd match against Young Lions. As of 31 October 2020, all three of Brunčević's goals that season had come inside the six-yard box.[2] At the end of the 2022 Singapore Premier League season, he left the club, having made 56 appearances for Balestier Khalsa and scoring 6 goals in all competitions.
On 23 February 2024, it was announced that Brunčević had returned to Singapore to join Singapore Premier League club Hougang United. He made his debut for the Cheetahs in a 3–1 win against the Lion City Sailors in a pre-season friendly match of the Singapore Premier League. On 14 April 2024, Brunčević scored a header as his first goal for the Cheetahs from a corner against the Young Lions in their 4th pre-season match. On 30 August 2024, he scored a rocket header which will be his first league goal in a 1-1 draw against Tampines Rovers. On 18 December 2024, it was announced that Brunčević would depart from the club alongside Petar Banović and Faris Hasić, with the Serbian defender ending his career with the Cheetahs making a total of 19 appearances and scoring 1 goal.
