The Hungarian National Teams are from the Eastern European country of Hungary.
Grugwyn Rufford wrote a letter to the Daily Prophet complaining that coverage was given to frivolous Quidditch team features rather than the news that the Welsh National Team had beaten the Hungarian National Team at an international Gobstones tournament (DP1).
As there are wizards (and dragons) in Hungary, there is likely to be a Hungarian Quidditch team as well the Gobstones team.
There is certainly no mention of Gobstones, Quidditch or any other wizarding sport on the the country's Wikipedia page (Wikipedia).
Although the date printed on the first Daily Prophet Newsletter (DP1) is 31 July 1998, the timeframe for this event is 1992-1993.
From the Web
Writing by J.K. Rowling on Pottermore:
Harry Potter Wiki: Hungarian National Gobstones Team
Tags: boring competitions/competitors games international sports teams tournaments