A medical wrap includes a flexible, sheet-form substrate with a discrete medical function delivery region having a surface adapted to be placed against a patient's skin to provide a desired medical effect. The substrate carries a field of fibers exposed on one side thereof for engagement by fastener elements, and an array of fastener elements extending from a side of the substrate opposite the exposed fibers. The fastener elements each have a respective stem extending integrally from a film of resin disposed in a band across the substrate and encapsulating surface features of the substrate. The fastener elements are constructed to snag the exposed fibers when the substrate is wrapped about a patient in an overlapping manner, to secure the wrap about the patient with the medical function delivery region in a desired position. The wrap is useful as a hot or cold pack, medical dressing or drug delivery device.