He also represented Serbia at the 2016 Summer Olympics in Rio de Janeiro, Brasil but he lost in the quarterfinals to the eventual silver medallist Mark Madsen of Denmark.

[3] At the 2017 World Wrestling Championships in Paris, Nemeš edged the 2016 Summer Olympics bronze medallist Saeid Abdevali of Iran in the opening round and later defeated the Russian wrestler Aleksandr Chekhirkin in the gold medal final, with a score of 4–1.

He faced the two-time Olympic champion and home favourite Roman Vlasov in the final, where he eventually lost 1–5.

[7] In 2020, he won one of the bronze medals in the 77 kg event at the 2020 Individual Wrestling World Cup held in Belgrade, Serbia.

[8][9] In March 2021, he competed at the European Qualification Tournament in Budapest, Hungary hoping to qualify for the 2020 Summer Olympics in Tokyo, Japan.