Apparently they have a new sale going on for ex-TLV flights. This is through Alitalia's Israeli site.
I made a random dummy booking for June 30-July 21 and it priced out at $1705 for the following itinerary:
Outbound:
TLV-Rome: Business
Rome-JFK: Premium Economy
Inbound:
JFK-Rome: Business
Rome-TLV: Business
Obviously the Rome-TLV/vice versa legs are Euro business, but still better than back of the bus
And the Premium Economy leg should be fine, the product is supposed to be great.
Also, combines with this bonus miles promotion (but do your due diligence because Etihad Guest gives 300% for business and 200% for Prem. Y):
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Global Sale Offers and a lot of bonus miles!
Choose to fly in Premium Economy Class or Business with Alitalia and earn different bonus miles depending on the route flown:
2.500 miles for flights in Business Class on medium haul International Flights
5.000 miles for flights in Premium Economy Class on long-haul international flights.
12,000 miles in Business Class on long-haul international flights.
Purchase an Alitalia ticket, in Premium Economy Class or in Business Class, between 9th and 19th of January 2017 to fly:
• between 1st February and 30th June 2017 to international long-haul destinations
• between 15th January and 18th June 2017 to international medium-haul destinations
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I'm sure this could be had for less if you play with the dates. Maybe someone could even stumble across a full business ticket for the same price?