[4] Brkić was loaned out to Dinamo Tirana for the club's participation in the UEFA Europa League; he played in the first leg of first qualifying round against FC Lahti which ended 4–1 to the Finnish side.

[11] In January 2011 Brkić joined a half-season loan at Dinamo Tirana, returning at capital club after two-and-a-half years.

[11] Brkić agreed personal terms and joined fellow top flight side Flamurtari on 15 September 2011 on a one-year contract.

[17] His first score-sheet contributions came in his second appearance for the club on 24 March against Vasas SC, netting a volley in 76th minute to give his team the temporary lead in an eventual 2–3 loss at Illovszky Rudolf Stadion.

[20] He made his debut on 14 September in the opening week of championship versus Partizani Tirana, producing a strong performance and assisted the lone goal before was replaced at extra time as Laçi won at home.