Abstract: A non-invasive treatment method for reducing fats using a system (10) for performing a non-invasive treatment for reducing fats by cold application. The system (10) includes a central unit (12), a cooling device (14) for cooling a fluid, at least one applicator (16) for performing a non-invasive localized treatment of the fats by cold application, including a cavity, a suction conduit (18) opening up into the cavity (34) and arranged so as to suck up a bead in the cavity (34), and a transport device (20) for conducting the fluid from the central unit inside the applicator. The wall of the cavity (34) is suitable for being indirectly cooled by the cooling device and the cooling device (14) is arranged at a distance from the applicator.