The current invention concerns a kit suitable for the non-surgical treatment of skin lesions including warts, verrucae, corns, and skin tags said kit comprising a cryogenic body comprising a housing hosting a coolant container and further comprising a cryogenic applicator head, whereby the housing and the cryogenic applicator head extend axially; said cryogenic applicator head is provided with a cryogenic tip for performing a cryogenic treatment to a skin lesion, whereby said coolant container contains a coolant suitable for cooling said tip; the kit further comprises an acid body comprising an acid container containing an acidic composition and having an acid outlet, and an acid dispenser head that axially extends from said acid container, is in fluid communication with said acid outlet, and is suitable for applying a dose of said acidic composition to a skin lesion. The invention also concerns a dosage regimen.