Career
He is the top ranked player of Bosnia and Herzegovina. Predojević earned the General Motors title with his performance at the 2004 Olympiad where he made his third required norm. In 2011, he tied for 2nd-4th with Hrant Melkumyan and Mircea Pârligras in 41st International Bosna Tournament in Sarajevo.
On 28 and 29 June 2013, he played a friendly four-game rapid match with world Number.
1 player Magnus Carlsen losing by 1,5-2,5, after three draws and one loss.