Cozy ambient inside, but also with tables on the street, Champagne Socialist is a good place to try natural wines from Europe. You can also go there just to buy a bootle (or more, of course) and drink it at home.
A fairly new restaurant, managed by young people. The place is beautifully furnished, very minimal and reflects perfectly the quality of the food, a contemporary version of italian cuisine, but absolutely not artefact in its quality. Amazing ingredients, amazing food, and a special bravo to the sommelier.
Cute cafe designed by Wes Anderson at the Prada Foundation. The interior is in the style of a Milanese bar from the 1950s/60s and has a good selection of sandwiches, coffee and alcoholic drinks.
Fondazione Prada is an institution dedicated to contemporary art/ culture and is located in an former industrial complex on the southern edge of Milan.
The new and regenerated buildings are designed by OMA/ Rem Koolhaas.
A must visit is Bar Luce designed by Wes Anderson.