A composition (I) containing at least (in a physiologically-acceptable medium) a combination of phthalamidoperhexanoic acid (II) and zinc salicylate (III). Independent claims are also included for (1) a cosmetic kit comprising (a) a container with at least one compartment and a closure and (b) a composition (I) in this compartment (2) cosmetic procedures for the care or cleaning of greasy skin, involving the topical application of (I) .
