He also refereed at the 2013–14 UEFA Champions League knockout stage (Paris Saint-Germain v. Bayer Leverkusen).

After the match, Fenerbahçe claimed "bet manipulation" and requested UEFA to investigate Ivan Bebek's phone traffic and assets.

On October 7, 2021; the Disciplinary Commission of the Croatian association decided to suspend the referee for a period of four months.

This decision was due to his conversations that leaked in the media, in which he insults Hajduk Split fans, with Croatian journalist Blaž Duplančic.

On November 1, 2022; Bebek was assigned as the fourth official for the UEFA Europa League match between Dinamo Kyiv and Fenerbahçe.