A modular, reduced-pressure, wound-closure system for providing a closing force on a surface would includes a flexible strap operable to be formed into a closed loop inbound and around the surface wound and a plurality of modular closing members coupled to the flexible strap. A reduced-pressure source is fluidly coupled to the plurality of modular closing members. The modular closing members are operable to generate a closing force on the surface wound. A portion of the modular closing members are releasably attached to the patient's epidermis proximate the surface wound and another portion are attached to the flexible strap. A reduced pressure from the reduced-pressure source is delivered to each modular closing member to generate the closing force on the surface wound. Methods and other systems are presented.