A vehicle roller blind arrangement, with a roller blind web that can be wound or unwound in an extension direction, a band-shaped guide element that extends along the extension direction and is guidable in a guide rail, which can be coupled fixedly to a vehicle, in such a manner that said guide element extends parallel to the roller blind web, and a band element that extends along the extension direction and is arranged between the roller blind web and the guide element and, on a first longitudinal side, is coupled fixedly to the roller blind web and, on a second longitudinal side, is coupled fixedly to the guide element. The band element has a T-shaped or Y-shaped cross section, is formed of a different material from the roller blind web, and has a smaller material thickness than the roller blind web. In addition, the invention relates to correspondingly configured subassemblies and roof arrangements.