 Bebek is the only Croatian referee to have supervised three UEFA Champions League group stage matches (Lazio v. Werder Bremen during the 2007–08 season, Bordeaux v. CFR Cluj in the 2008–09 season and Copenhagen v. Juventus during the 2013-14 season).He also refereed at the 2013-2014 UEFA Champions League knockout stage (Paris Saint-Germain - Bayer Leverkusen).He has refereed at the 2007 FIFA U-17 World Cup.