A cryo-ablation systems with a probe body (P) having a treatment head (TH) with a tip portion (TP) for contacting tissue at a region of contact and configured for imparting a temperature change to the tissue at said region of contact. A plurality of electrodes (Ej) are arranged spaced apart from said tip portion and around said tip portion, configured to measure an electrical property of the tissue in a neighborhood around said region of contact. Adhesion management means are also envisaged.