Born in Split, Kalinić began his playing career at Hajduk Split. He made his Prva HNL debut in the 2005–06 season at age 17. On 1 August 2006, he was sent on loan to Pula Staro Češko (now Istra 1961) to receive more first-team action. In his loan time at Pula, he had a slow but fair start considering his young age. Despite not playing all too regularly in a short single season with them, he still managed to adapt and find goalscoring form, scoring 3 goals in 12 league appearances.