As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
PILOT REPORTED LT ENGINE FLAMED OUT WHILE CLIMBING FROM FL360 TO 370, DECENDED AND RESTART AND CLIMB BACK TO FL330 AND COMPLETED LEG. WILL UPDATE AFTER MAINTENANCE.COMPLIED WITH SEI 187 FLOW CHART FOR FLAME OUT CK OUT CF700 NO DEFECTS NOTED.