Bookable on Priceline, with Free cancellations till 11:30 pm the day after booking.
This $699 fare is on Turkish Airlines, with a short 1-2 hour stopover in Turkey. With Turkish Airlines, you are allowed 2 free bags. There are also some fares available for $60-$80 more on Alitalia. Though with Alitalia, most flights have 2 stop overs.
Sample Date: March 19-March 26.