Composition comprising, per 100% of its mass, essentially: from 0.50% by mass to 1.50% by mass of peracetic acid, from 3.00% by mass to 15.00% by mass of hydrogen peroxide, from 3.00% by mass to 15.00% by mass of acetic acid, from 0.10% by mass to 1.00% by mass of concentrated nitric acid, from 0.001% by mass to 0.20% by mass of nonionic surfactant, from 0.01% by mass to 0.10% by mass of amine oxide, from 0.01% by mass to 0.20% by mass of stabilizer, and water to make up to 100% by mass; use thereof for cleaning, descaling and disinfecting dialysis equipment between two successive dialysis sessions, without additional treatment other than rinsing of said dialysis equipment with osmosed water; methods for the use thereof.