During the 2010–11 season, Brkić was a member of the OFK Beograd first team squad, but lacked playing time, so in the spring of 2011, he was loaned again to Kolubara, with whom he successfully battled relegation in the Serbian First League.
He was a member of the team that won a place in the Serbian SuperLiga, contributing a goal in the play-off match against Napredak Kruševac.
[3] On 18 January 2021, he signed a one-year contract with Bosnian Premier League club Tuzla City.
[4] Brkić scored his first goal for Tuzla in his debut against city rivals Sloboda in a league game on 28 February 2021.
[5] Brkić was a member of Serbian youth national teams, and played at the 2008 UEFA European Under-17 Championship.