An effective composition is for the therapeutic or cosmetic treatment of atrophic cutaneous and subcutaneous tissues, skin appendages, connective tissues or mucous tissues. The composition includes a combination of a salt of adamantane carboxylic acid, preferably salified with an aromatic and/or adamantane base, with a proteolytic enzyme and/or willow extract, salicylic acid, acetylsalicylic acid, salicylate, or acetylsalicylate. Further active ingredients that are suitable for inclusion in the composition are zinc oxide, vitamins, phytoextracts, sugars, amino acids, minerals, further salts, phytoextracts, ventilated green clay and any combination thereof. The composition has a particular synergy between the constituent elements, and is particularly effective in the treatment of atrophic ulcers or bedsores.