Other assets and rights were in the Limmat and Reppisch valleys, in Zürcher Oberland, in the Pfannenstiel region, also sporadically in the present Thurgau and north of the Rhein river and on Bodensee lake shore.
The so-called Hunfried document of 1044 AD mentions among others a witness named Lütold of Affoltern who is suspected as the builder of the ancestral seat around 1050, the Alt-Regensberg Castle on the border between Regensdorf and Zürich-Affoltern.
The foundation of the Rüti Abbey probably enabled Lütold IV to secure goods from the legacy of Alt-Rapperswil around 1192 to escape the clutches between Toggenburg and Neu-Rapperswil.
A visible sign of the upturn of the Regensberg family was the decisive transformation of the ancestral seat as high medieval aristocratic residence with walls made of stone instead of a palisade and the elaborate shell of the keep.
Shortly after the founding of the town of Grüningen which probably served as security for controversial goods in the Zürich Oberland, in 1219, on the mediation of the Archbishop Eberhard of Salzburg, a brother of Lütold V, the Kastvogtei on Rüti went to Neu-Rapperswil.
Recent research assumes that their rule functions later were acquired by the lords of Baldegg and later by the family of Landenberg-Greifensee (both Habsburg ministerials), since the latter is documented as the owner of Altburg from 1354.