Abstract: A wrap device is configured for use as a pet garment having a receptacle for receiving a treatment element that can be used to provide warmth or cooling. The wrap device contains a leash-fastening assembly comprised of a ring attached to the outer side of the wrap. In one embodiment, an opening in the wrap receives said ring wherein the ring extends through the opening when the wrap is placed around a limb, torso or other body part of the pet. In another embodiment, the leash-fastening assembly may be comprised of a ring attached to a part of the wrap that is accessible after the wrap is placed on the pet.