Đurić has played with Serbian clubs BPI Pekar and Beograd in his early career.
Being the main playmaker in Metalurg, he was voted by the Football Federation of Macedonia as the best foreign player in the Macedonian First League for the year 2010.
In summer 2011 he moved to Poland and started playing for Sandecja Nowy Sącz, but at the beginning of season's second half, he changed club and became a member of Radnik Bijeljina.
A few months later Radnik won the First League of the Republika Srpska and Milan Djurić was named the best player.
He helped Jagodina win the 2012–13 Serbian Cup by scoring the only goal in the Final against Vojvodina.