A device, applicator and a cosmetic non-therapeutic method of treating at least one area of the human body. The device includes a composition held in a container or a substrate and an applicator configured to apply the composition. The applicator includes an application surface that includes an application surface material with at least one of a thermal inertia of at least 1,000 Jm−2K−1s−1/2 and a thermal conductivity greater than or equal to 1 Wm−1K−1. The method includes providing an applicator, cooling the applicator to a temperature below or equal to 15° C., and loading the cooled applicator with a cosmetic composition at a temperature closer to an ambient temperature than that of the applicator, and applying the composition using the applicator, or before or after the cooling, applying a cosmetic composition, and after the cooling, bringing the cooled applicator into contact with the area to be treated.