An assembly of devices designed to non-invasively apply cold to the skin and subcutaneous tissues for subcutaneous fat layer reduction through cold-assisted lipolysis (coolsculpting); it may additionally be used to provide local anaesthesia for procedures that produce minor discomfort. It primarily consists of a mains electricity (AC-powered) control unit to produce the thermal energy, and an applicator and gel pad to convey the thermal energy to the target area (e.g., chin, hips, abdomen, thighs); additional components may be included (e.g., disposable liner for the applicator, electronic program cards, pager).