New York JFK for American and Delta and EWR for United to Milan MXP has been a low summer fare in the mid to upper $600s off and on for the past week with departures June through August. Delta is the lowest fare in July at $661, United is $677 with Swiss Airlines flights for return and American/British Airways ranges from $664 in June to $721 in July. Many of the Oneworld Alliance low fare dates showing upper $600s on Google Flights repriced in $800s on American Airlines website.
American Airlines New York JFK – Milan, Italy MXP
$664.76 Monday June 6 – Tuesday June 14 (nonstop flights)
Google Flights fare calendar JFK-MXP filtered for Oneworld flights
Several dates in June and July are upper $600s with nearly all departure dates under $750 round trip.
Delta Air Lines New York JFK – Milan MXP
$660.76 Sunday July 10 – Friday July 22
United Airlines New York/Newark EWR – Milan MXP
$676.56 Sunday July 24 – Friday August 5