The invention relates to the use of composition comprising free amino acids as a sole source of protein, a fatty acid source comprising long chain polyunsaturated fatty acids, a carbohydrate source comprising digestible and indigestible carbohydrates, and milk protein free Bifidobacteria for treating a person suffering from (a) colic, congestion, runny nose, wheezing, vomiting, diarrhea, bloody stools, mucus in stools, rash, eczema, gastroesophageal reflux, eosinophilic esophagitis or asthma; (b) cow's milk allergy and/or food protein intolerance; and/or (c) infections, wherein the indigestible carbohydrate is selected from a milk protein free source and the total composition is essentially free of intact proteins.