System, cryo-surgical comprising: a container (110, 310, 410, 710) containing a refrigerant a supply tube (120, 320, 420, 720) having a first end (122, 322, 422) configured to be in fluid communication with the container and a second end (124, 324, 424) opposite the first end and a porous applicator (140, 340, 440, 740) characterized in that the system further comprises a plurality of portions of flexible fingers (125, 325, 425, 725) disposed near a second end of the supply tube opposite the first end wherein the porous applicator (140, 340, 440, 740) is disposed near the second end of the supply tube, the applicator having a body portion (144, 344, 444) arranged inside of the plurality of parts flexible finger and a contact surface (146, 346, 446, 746) extending from the plurality of flexible finger portions and wherein the system further comprises a ring (130, 330, 430, 730) disposed along the delivery tube adjacent to the plurality of flexible finger portions and configured to move in a direction towards the applicator engaging the flexible to compress thereby reducing the applicator and the contact surface of the applicator and to move in a direction towards the vessel to increase the contact surface of the applicator fingers.Sistema de crio-quirúrgica, que comprende: un recipiente (110, 310, 410, 710) que contiene un refrigerante un tubo de suministro (120, 320, 420, 720) que tiene un primer extremo (122, 322, 422) configurado para estar en comunicación hidráulica con el recipiente y un segundo extremo (124, 324, 424) opuesto al primer extremo y un aplicador poroso (140, 340, 440, 740) caracterizado por el hecho de que el sistema comprende, además una pluralidad de partes de dedos flexibles (125, 325, 425, 725) dispuestas cerca de un segundo extremo del tubo de suministro opuesto al primer extremo en el que el aplicador poroso (140, 340, 440, 740) está dispuesto cerca del segundo extremo del tubo de suministro, presentando el aplicador una parte de cuerpo (144,