Some embodiments of the invention provide an apparatus for achieving hemostasis in a puncture tract in a patient (e.g., a human or animal). Such a tract might have been created during a medical procedure or operation. Alternatively, the tract might be a result of a traumatic injury (e.g., injury that occurred outside of a hospital) that created a traumatic wound, such as a bullet wound, shrapnel or knife puncture. The puncture typically extends from the epidermis to the vasculature and/or internal organs in a living organism. In some embodiments, the apparatus includes (1) a bandage for inserting at least partially into a puncture tract to achieve hemostasis, and (2) a strap for maintaining the bandage on a part of a patient (e.g., a part of a human or animal such as appendage, torso, extremity, etc.). The strap maintains the bandage within the puncture tract at a particular pressure in some embodiments. The bandage and strap are removed from the patient after a time period (e.g., once hemostasis is achieved).