Pari gbolohun ti o tẹle: Ninu ẹgbẹ agbabọọlu orilẹ-ede Hungary ni ọdun 2015 o ni aye ni awọn ere meji to kẹhin ti jara idije ti European Championship, ati lẹhinna, lẹhin igbesẹ ti o ṣaṣeyọri, winger ọtun akọkọ ti ẹgbẹ agbabọọlu orilẹ-ede, Péter Gulyás, farapa laipẹ ṣaaju idije European Championship, Hornyák gba ipo rẹ ni ilana ti 2016 European Men's Handball Championship. O soju fun Hungary ni 2018 European Men's Handball Championship,
2019 World Men's Handball Championship àti 2020 European Men's Handball Championship.