As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
(CAN) FLAMEOUT DURING DESCENT FROM FL400, THE PILOT NOTICED SOME VIBRATIONS AND AT APPROX. FL350, THE ENGINE FLAMED OUT. THIS WAS FOLLOWED BY AUTO RE-LIGHT AND THE ENGINE REGAINED NORMAL POWER. THE FLIGHT WAS COMPLETED AS SCHEDULED. TROUBLESHOOTING ONGOING.