A modular, reduced-pressure, wound-closure system for providing a closing force on a surface would includes a flexible strap (171) operable to be formed into a closed loop inbound and around the surface wound and a plurality of modular closing members (169) coupled to the flexible strap (171). A reduced-pressure source (150) is fluidly coupled to the plurality of modular closing members (169). The modular closing members (169) are operable to generate a closing force on the surface wound. A portion of the modular closing members (169) are releasably attached to the patient's epidermis (108) proximate the surface wound (111) and another portion are attached to the flexible strap (171). A reduced pressure from the reduced-pressure source (150) is delivered to each modular closing member (169) to generate the closing force on the surface wound (111). Methods and other systems are presented.