Davide is a wonderful host. He had many useful tips about the city, cleared a shelf in the fridge for me stuff and offered me coffee in the morning!
When he went to a supermarket outside the city center, he even offered to get some Italian salami for me at a place that was cheaper than the city center.
The place is very central - minutes away from the Duomo. And public transport is also very close.
If I travel to Milan again, I will definitely check if his place is available.