[2] He fought twice in the 11th Mustafa Hajrulahović Memorial tournament, beating Erik Tlkanec by split decision, and Pirro Quni by retirement.

[4] In the 2016 Croatian National Championships, he beat Valentin Kajtazi and Toni Filipi by RSC in the quarterfinals and semifinals respectively, before fighting a rematch with Marko Calic in the finals.

[7] He lost the opening fight of the 2017 European Boxing Championships, dropping a split decision to Kristiyan Dimitrov.

The two of them fought a rematch in the finals of the 2019 Croatian National Championships, with Filipi once again winning, and Babić earning a silver medal.

[10] In between these two fights, Babić also participated in the 2019 Slovenia Grand Prix, where he defeated Angelo Gentile by RSC in the semifinals, and Victor Schelstraete by split decision in the finals.

[24] Babić faced Johnny Fisher at Copper Box Arena in London, England on July 6, 2024.