Career
He has been a full international for Fédération internationale de football association since 2010. Vinčić went to EURO 2012 as additional assistant in the team of Damir Skomina. Slavko Vinčić was a referee during the match between the EA Guingamp and Dynamo (K) in the round of 32 of 2014-2015 Union of European Football Associations Europa League and showed two red cards to Dynamo Kyiv players.
There was some controversy about the red cards.