Method and device for treatment of a cutaneous surface or a mucous membrane. The device comprises a container, such as an aerosol can, for containing a composition comprising at least one refrigerant. The container has a container outlet and a valve communicating with the container outlet. An applicator is mounted or mountable to the container. The applicator comprises a heat exchanger, a contact surface and a dispensing channel between the container outlet and one or more applicator outlets arranged for wetting the contact surface. The dispensing channel defining a flow path crossing the heat exchanger. The contact surface can for example be formed by a non-porous layer, e.g. of plastic or rubber.
