According to the results of questioning the man, Gabor P, is suspected of being connected to the killing, said police spokeswoman Agnes Beleznay.
Romanian handball player Marian Cozma was attacked and stabbed in front of a bar in Veszprem on February 8, and his team mates, a Serbian and a Croat player, who tried to help him, were seriously injured.
Two of three suspects connected to the stabbing were caught by police in Austria within hours of the killing, while the third suspect turned himself in last Thursday. They are all being held in pre-trial detention.