Prevent Blood Loss with Emergency Equipment Devices Act of 2019 or the Prevent BLEEDing Act of 2019 This bill authorizes the use of Department of Homeland Security (DHS) grant funds for certain anti-blood loss purposes. Specifically, a grant under the Urban Area Security Initiative or the State Homeland Security Grant Program may be used to purchase or distribute anti-blood loss supplies (tourniquets, gauze, dressings, or other appropriate materials) for use in medical emergencies in places where people gather; to provide training on the proper use of anti-blood loss supplies to enhance public safety; or to make grants to an eligible entity for such purposes. DHS shall (1) allocate such funds by a formula developed by DHS that takes into consideration the relative populations of each geographic area for which a grant is made; and (2) conduct outreach to inform state, local, and tribal governments and high-risk urban areas that apply for grants under that initiative or program of the availability of funds under this bill.