Wound closure apparatus is provided including a body having an elongated, lowermost force-transmitting surface operable to be placed in a proximal, external, wound-closing position on a patient, together with a force-exerting assembly coupled with the body and operable to exert a downwardly directed force serving to generate wound-closing pressure against the patient's tissue. The force-transmitting surface is preferably three-dimensionally asymmetric so that forces of different magnitude are exerted at different locations along the length of the surface. The apparatus is especially designed for the closure of wounds attendant to endovascular interventions, e.g., a femoral artery puncture wound incident to percutaneous cardiac intervention (PCI), and is capable of quickly effecting wound closure with a time-to-ambulation (TTA) of approximately 60 minutes, and with a very low complication rate.