A winder for winding a web to produce a rolled product is provided. Included in one exemplary embodiment is a plurality of independent winding modules. The winding modules may be configured to wind the web to form a rolled product by center winding, surface winding, and/or combinations of center and surface winding. In accordance with the present disclosure, at least one tail sealing apparatus is present in the system. The tail sealing apparatus includes an applicator device that transfers adhesive to a web being wound prior to completion of the roll. In one embodiment, the applicator device remains in contact with the wound roll during the completion of the winding cycle in order to have an ironing effect on the finished roll.