A composition comprising protein hydrolysates derived from milk is obtained by the treatment of enzymes derived from microorganisms. A trypsin-like enzyme and a chemotrypsin-like enzyme are used. The composition is in particular intended for inducing tolerance in infants with the effect of modulating the potential occurrence of allergies later in life. The composition can also be used in sick adult patients. Preferably the composition is an infant formula, infant follow-up formula, growing-up milk or baby food or an enteral complete nutritional composition.