A process for wrapping an edge flap of a workpiece having a covering sheet extending over a front face thereof and edge flaps protruding outwardly beyond the front face. The workpiece is positioned on a table, with one edge and the protruding flap overhanging and protruding outwardly beyond the table. The workpiece is disposed in proper location by positioning elements and clamps fix it to the table. adhesive is applied to the edge flap. A wrapping arrangement is provided with wiping blades so that upward movement of the wiping arrangement causes a first wiping blade to engage the edge flap and wipe it upwardly into engagement with an edge face, following which the wiping arrangement moves the second blade over the workpiece so that a second wiping blade engages the end part of the flap and wipes it downwardly into engagement with the back face of the workpiece.
