Disclosed is a device for cooling a body or body part for medical or performance-enhancing purposes, said device consisting of one or more cooling elements (11), said cooling element (11) being provided with a cover (1) that is filled with meltable cooling solid (2). The disclosed device is characterized in that an additional apparatus for displacing the already melted portion (8) of the cooling solid (2) from the contact surface (7) to the body is provided inside the cover (1), the expandable member (4, 6) being preferably designed in the form of a filled member (4) of a spring element (6) or of a foamed article. Also disclosed is an additional device which is characterized in that a layer (16) of thermochromic material indicates when a threshold temperature is exceeded, said layer (16) being applied to the bottom side of the expandable member and thus being pressed against the remaining solid portion of the cooling solid, the cover (1) being transparent in this case.