A composite hook and loop fastener (100) in the form of an elongated strip has an elongated loop component (110), a hook component (120) permanently affixed to the loop component (110), and a backing layer (130) disposed on a face of the wrap tie in a discrete region. The backing layer (130) is used for permanent attachment of the wrap tie to a supporting surface. One end of the loop component (110) is available for encircling an object to be wrapped and engaging the fastener elements of the hook component (120). The loop component (110) has a self-supporting web of entangled fibers, the fibers forming both a sheet-form body and hook-engageable, free-standing loops extending from at least one surface of the body, and the hook component (120) has fastener elements extending from a common base. The backing layer (130) may be a pressure sensitive adhesive or a synthetic resin.