The apartment is rented through an agency. They were very responsive and flexible. The apartment was very nice, modern and clean, just as on the pictures, but indeed it is on the 5th floor without any elevators. If you're up for the climb, go for it :)

The only issue we had was with the air conditioning unit, which was leaking and was quite loud at night. Apart from this we had a very nice time in the apartment and in Milan.