Here's an ideal itinerary for 5 days in Milan:

Day 1: Arrival and Exploration

• Arrive in Milan and check into your hotel
• Start your exploration of the city by visiting the iconic Duomo di Milano, one of the largest cathedrals in the world
• Take a stroll through the Galleria Vittorio Emanuele II, one of the oldest shopping malls in the world, and admire its stunning architecture
• Enjoy a delicious Italian dinner at one of the many restaurants in the Brera district

Day 2: Art and Culture

• Visit the famous Pinacoteca di Brera art gallery, which houses some of Italy's most important works of art
• Explore the historic Sforza Castle, which now houses several museums and art collections
• Take a walk through the trendy Navigli district, known for its picturesque canals and vibrant nightlife
• End the day with a visit to La Scala, one of the world's most famous opera houses

Day 3: Day Trip to Lake Como

• Take a day trip to the beautiful Lake Como, located just a short train ride from Milan
• Enjoy a scenic boat tour of the lake and take in the stunning views of the surrounding mountains and villas
• Visit the charming town of Bellagio, known for its narrow streets and beautiful gardens
• Return to Milan in the evening and enjoy a relaxing dinner at one of the city's many restaurants

Day 4: Fashion and Shopping

• Spend the day exploring Milan's fashion district, home to some of the world's most famous designer brands
• Visit the Armani Silos museum, which showcases the work of legendary fashion designer Giorgio Armani
• Shop for souvenirs and gifts at the historic Mercato di Via Fauché market
• End the day with a visit to the trendy Corso Como district, known for its stylish boutiques and nightlife

Day 5: Food and Wine

• Take a food and wine tour of Milan, sampling some of the city's most delicious dishes and wines
• Visit the historic Eataly food market, which offers a wide variety of Italian foods and products
• Enjoy a wine tasting at one of Milan's many wine bars
• End your trip with a farewell dinner at one of the city's top-rated restaurants, savoring the flavors of Milanese cuisine.

I hope this itinerary helps you plan an unforgettable trip to Milan!