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Emirates nonstop from New York to Milan (JFK-MXP) for $ 445 nonstop AFTER September 2nd. You can search and book via Google Flights, Skyscanner, Expedia… same price.
If you book from Expedia, you can get points from there, PLUS points on your travel credit card… or if you use Emirates a lot, get an account there to get their points.
Includes TWO checked baggage, unlike budget airlines.