The invention relates to a cosmetic and/or pharmaceutical composition in combination with suitable carriers for topical use, comprising a mixture consisting of methyl sulfonyl methane and at least one compound belonging to the class of 4-alkyl cyclohexanols, which is useful in the treatment of various inflammatory conditions such as rosacea. The composition can act to simultaneously hinder both the release of chemical mediators which are up-regulated in rosacea and their action of causing the activation of TRPV receptors. The composition can reduce the effect of ultraviolet radiations on a skin already affected by an inflammatory process, and particularly, it can reduce the erythema induced by ultraviolet radiations on a skin already affected by an inflammatory process.