Step 1: Signup for the Alitalia newsletter to instantly get a 10% off coupon good only for flights originating in Boston, JFK, or Miami.
Step 2: Search for a flight and complete all travel by 03/27/14.
Step 3: After selecting the flights enter and apply your E-Coupon number to get the 10% off (If you copy/paste be sure there no extra spaces at the beginning or end!)
Flights connect via Rome and/or Milan.
There is lots of availability in March for $592.85 after the 10% off code is applied.
I searched for flights from 03/04-03/12 and 03/12-03/19 (Purim) and found flights with a single 2 hour connection in Rome on the outbound and a single 1.5 hour connection in Rome on the return.
February flights will be a little higher, for example 02/16-03/02 was $695 after the code.