An apparatus for treatment of external hemorrhaging has a panel for applying pressure to an absorbent pad and a wound on a body part. The panel has a central portion located between first and second arms which extend outwardly and in transversely opposed directions from the central portion. The apparatus includes a strap which is attached to the first arm at or near a first strap end, and is releasably attachable to the second arm at an attachment region of the strap spaced apart from the first strap end. When the panel is strapped to the body part, the tension in the strap pulls on and elastically deforms the first and second arms of the panel inwardly toward the body part, and applies localized pressure to the pad and wound.