Nemeš won one of the bronze medals in the 67 kg event at the 2019 World Wrestling Championships held in Nur-Sultan, Kazakhstan.

[1] In the same year, he also represented Serbia at the 2019 European Games in Minsk, Belarus and he won one of the bronze medals in the 67 kg event.

[2] At the 2019 Military World Games held in Wuhan, China, Nemeš also won one of the bronze medals in the 67 kg event.

[3] Nemeš competed in the 67 kg event at the 2020 Summer Olympics held in Tokyo, Japan.

[6] His twin brother Viktor is a fellow wrestler and world champion.