I recently travelled from the Netherlands to Italy and flew into Brindisi. I was pleasently surprised by the service the B&B Hostel Carpe Diem offers.
It's really near the airport of Brindisi Casale (about 1 km), very handy when your flight is early in the morning. They offer a free shuttle to and from the airport but as it's so close the distance can be walked in 10 minutes max.
I am soon going back to Italy again and will definitelly stay at that B&B again (Why spend a fortune in expensive hotels when you can almost get a better service for a lot less?).
- Minerva Hotel Brindisi
