What to do and where to shop in Milan. Spend 24 hours in Milan, Italy's most stylish city. Do your shopping at Cartier, Cerruti or Versace. Indulge in Italian food and reward yourself with Milan's rich culture. Milan is the shopping capital of northern Italy. Throw in a handful of monuments, sprinkle with a bit of culture and you have 24 hours of sheer pleasure. Gucci, YSL, Vuitton logos, handbags, fashion and accessories are no fakes. They are all the real thing. Set a limit on your credit card if you want to be able to pay your hotel bill.