This apartment is an absolute gem. Is close to everything, sea, restaurants, 20 minutes with taxi from airport. Very clean and comfortable beds.
I don't know the history of the building but looks so different, like an old monastery, so beautiful.
We did expect for the terrace to be private but you share it with other flats, it was not a problem as we spent most of the time out and about Bari.
I recommend Federica's and Teresa's flat 100%.