Kammala jumla mai zuwa: A cikin tawagar 'yan wasan Hungary a shekarar 2015 ya sami dama a wasanni biyu na karshe na jerin wasannin neman shiga gasar zakarun Turai, sannan kuma, bayan nasarar da aka samu, dan wasan farko na kungiyar ta kasa, Péter Gulyás, ya ji rauni jim kadan kafin gasar zakarun Turai, Hornyák ya dauki matsayinsa a tsarin gasar zakarun Turai na maza na 2016. Ya wakilci Hungary a gasar zakarun Turai na 2018 na Handball,
Gasar kwallon hannu ta maza ta duniya ta 2019 da Gasar kwallon hannu ta maza ta Turai ta 2020.