Cosmetic composition comprises at least one exothermic metal salt, at least one carboxylic acid and at least one compound of salicylic acid comprising salicylic acid and salicylic acid derivative (I), in an anhydrous medium, where the salt is obtained from mineral or organic base, and the carboxylic acid is compound distinct from a compound of salicylic acid. Cosmetic composition comprises at least one exothermic metal salt, at least one carboxylic acid and at least one compound of salicylic acid comprising salicylic acid and salicylic acid derivative of formula (I), in an anhydrous medium, where the salt is obtained from mineral or organic base, and the carboxylic acid is compound distinct from a compound of salicylic acid. R : 2-22C saturated, optionally linear, cyclic aliphatic chain, 2-22C unsaturated chain containing double bonds, which can be combined, an aromatic ring attached to carbonyl radical directly or by intermediate of optionally saturated 2-7C aliphatic group, where the group is substituted by substituents comprising halo, trifluoromethyl, hydroxyl groups in free form or esterified by 1-6C acid or carboxyl function in free form or esterified by a lower alcohol having 1-6C, preferably 3-11C alkyl group and R 1>OH. An independent claim is included for a cosmetic process of cleaning, cleansing and/or exfoliation of the skin, comprising applying the composition on the skin to moistening the skin, massaging and rinsing the skin. [Image].
