Abstract: A profile assembly is disclosed for the wedge-sealing of a sheet of flexible material, especially a window shade. It comprises a set of male and female extruded plastic profiles. The female profile is U-shaped and defines an open housing, one of its legs has, at its free end, a resilient sealing lip turned into the housing while the other leg has, also at its free end, a first wedging lip. The male profile is L-shaped and has a wedging branch and a base branch, the two making between them an inner angle of less than 90.degree.. Furthermore, the base branch includes, at the end away from the wedging branch, an upright arm having a second wedging lip on its face that looks toward the first wedging lip.