Career
Born in Zagreb, Brkljača began his senior career with hometown side Zagreb. During the winter transfer window of 2008-2009, Brkljača joined Hajduk Split. After a successful short spell at Hajduk, he signed for Italian club side Cagliari Calcio on the 8th of August 2009 on loan.
After an unsuccessful loan spell at the Italian club, he returned to Hajduk.
On 16 January 2015, Brkljača signed a one-and-a-half-year contract with CSKA Sofia in Bulgaria.