Possibly it was Arnold II of the Arnold branch who built the castles of Pölöske and Sztrigó (today Štrigova, Croatia) in Zala County in the 1240s, after Béla IV of Hungary abandoned the ancient royal prerogative to build and own castles in response to the Mongol invasion. After the 1270s the gradually marginalized Arnold branch, resided on the western part of the Hahót basin, lost the ownership of Pölöske and Sztrigó against Ottokar II of Bohemia then the increasing powerful Kőszegi family. Nicholas III also owned Purbach () in Sopron County, but after his rebellion in 1270, Stephen V of Hungary confiscated the castle and donated to his loyal soldier Panyit Miskolc. Until confiscation, Nick was also a property of Panyit Hahót. In Somogy County, the branch possessed Sukoró, Mórichely, Osziágy, Surd and Kákonya. For a time, James also owned Kálmáncsa and Dobsza, formerly queenly estates.