A traditional Mediterranean diet may serve a few servings a week of cheese or yogurt - especially the the less processed ones like feta or part-skim mozzarella or plain greek yogurt...
Milk is not traditionally part of a Mediterranean diet - if you enjoy it than consider replacing it with unsweetened almond or soy milk, as legumes and nuts are staples of the Mediterranean diet. Opt for ice cream / gelato as an occasional treat, and do review the portion size.