Ice cream contains lactose and milk protein so would not be tolerated at all. Usually, infants are allergic to the protein casein in milk. I cannot predict whether your baby will or will not ever tolerate milk products. In the meantime, though, keep your baby on soy formula or soymilk. Otherwise, discuss a calcium supplement with your baby's doctor.
Milk is the most important food in the diet of an infant or child .
It is a major source of complete protein, calcium, phosphorus, riboflavin , vitamin A and D, water and calories . Symptoms of lactose intolerance are abdominal cramping and watery diarrhea that occur within 30 minutes to a few hours after eating a milk product. Milk protein allergy can cause the same or more severe symptoms. I breast-fed my daughter until she was six months old. Then I switched her to two- percent milk.