Bas-Rhin real estate for sale chalets and apartments. search the Buy in France holiday property directory for Gites to buy in Bas-Rhin, France. Bas-Rhin is a department in the Alsace region in north-eastern France. The name means Lower Rhine. The Rhine river has always been of great historical and economic importance to the area, and it forms the eastern border of Bas-Rhin. The area is also home to some of the foothills of the Vosges.