 Ladislaus also ordered to register Conrad as the lawful owner of Novák estate in 1284.However these measures proved to be only virtual supports for Conrad, as the advancing Kőszegi family gradually displaced him from the region.Conrad's lands laid in the boundaries of interests of the two most powerful and aggressive oligarchic provinces – the Kőszegis seized his villages one after another in Moson County by the mid-1280s and handed over them to their "familiares", the Héderváris, while Matthew Csák expelled him from Pozsony County.