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ITA Airways via Booking.com have round trip airfares travelling from New York (JFK) to Cairo Egypt (CAI) for $637, making 1 stop in Rome Italy both ways. This is an economy classic fare that allows a personal item, a carry-on bag and 1 free checked bag with change (fare difference apply, if any). There's also free meal service.

If you have the Amex Offer for ITA Airways, and meet the minimum spend of $1250, book directly with ITA Airways even thought it is slightly higher.