A device for non-surgical cold treatment of disorders, like warts includes a container containing a refrigerant having an outlet and a valve communicating with the outlet. An applicator is mounted to the container, said applicator having an outer wall and forming a chamber at least when connected to the container, a heat exchanger within the chamber in fluid communication with the outlet of the container and receiving refrigerant when the valve of the container is opened. A closed contact member is in heat exchange contact with the heat exchanger and is exposed to an outer side of the applicator. The heat exchanger includes a porous member made of a material having a high thermal conductivity and adapted to conduct fluid refrigerant from the outlet of the container to the chamber while the refrigerant extracts heat from the heat exchanger and the contact member.