The invention relates to a device reversibly connectable to the human body for refrigerating a part thereof. The device of the present invention comprises a casing including a plurality of cavities which are mutually separated and each accommodating a given amount of thermal gel. The casing is connected to a first band by means of a plurality of press studs. The band can be wound about a part of the human body so that the casing containing the thermal gel is in contact with said part of a human body. The band comprises a buckle at a first end. By inserting the band into the buckle from a second end opposite to the first end, the band can be closed as a ring and fastened on said part of a human body. The band is kept wound on said part of a human body by means of Velcro. In a first alternative embodiment, the device of the invention comprises a second band connected, at the ends thereof, to the first band so as to form a ring in which a foot can be inserted. In such a variant, the device of the invention can be specifically used to cool the back of a foot. In a second alternative embodiment, the device of the invention comprises a shell which is substantially shaped as a shin-pad and to which the casing containing thermal gel is reversibly connected at the concavity thereof. In such a variant, the device of the invention can be specifically used to cool the front part of a leg. In a third alternative embodiment, the device of the invention comprises a helmet to which a plurality of said casings containing thermal gel are reversibly connected at the concavity. In such a case, the device of the invention can be specifically used to cool the head.