As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
DURING CLIMBOUT FROM KOSC EN ROUTE TO KJFK THROUGH FLIGHT LEVEL 390, THE RIGHT ENGINE FLAMED OUT. ATC WAS CONTACTED, A LOWER ALTITUDE AND RETURNED TO KYIP WAS REQUESTED. DURING DESCENT THROUGH THE RE-LIGHT ENVELOPE, THE ENGINE WAS RE-STARTED AND THE AIRCRAFT LANDED WITHOUT INCIDENT. THIS ENGINE WAS REMOVED AND REPLACED WITH A SERVICEABLE ENGINE.