BACKGROUND ITA Airways is the new name for what remains of the Alitalia network and fleet. If you book with ITA, part of the booking engine still says Alitalia, many of the aircraft have Alitalia livery, and many of the staff seem to be ex-Alitalia.
At the moment ITA Airways is owned by the Italian government, but other airlines have expressed an interest in buying a stake, including Air France/KLM.
ITA Airways has launched a new