A wiper device (10) for a liquid or paste applicator (30), the wiper device comprising a tubular body (12) having an axis (X), and a plurality of blades (20) that extend from the tubular body (12) and that are arranged around the axis (X), each blade (20) comprising a proximal end (22) that is close to the tubular body, a distal end (26), and an intermediate portion (24), the wiper device being characterized in that the intermediate portion (24) of each blade is closer to the axis (X) of the tubular body (12) than are the proximal and distal ends (22, 26) of said blade (20). A liquid or paste applicator unit including such a wiper device.