The invention relates to a device for winding a screen (10) which comprises a tubular winder (12) defining a reference axis (100); a first wall attachment (18A) for fastening a first axial end portion (14A) of the tubular winder (12) to a first wall (16A) in a use position of the screen-winding device (10); and a second wall attachment (18B) for fastening a second axial end portion (14B) of the tubular winder (12) to a second wall (16B) in the use position of the screen-winding device (10). The first wall attachment (18A) comprises at least one tab (54) for fastening to the first wall (16A) and at least one first hinge (58) supported by the fastening tab (54) in order to guide a pivoting of the tubular winder (12) about a first axis of articulation (200) that does not intersect with the reference axis (100) and, in the use position, orthogonal to the reference axis (100). The first wall attachment (18A) comprises a second jointed hinge (66) supported by the fastening tab (54) in order to guide the first hinge (58) so as to rotate about a second axis of articulation (300) that does not intersect with the reference axis and is not parallel to the first axis of articulation (200).