What was found
25 MIN AFTER SETTING CRUISE THRUST, FL 360, ENGINE NR 1 FLAMED OUT. ENGINE INSTRUMENTS NORMAL, DESCENDED TO FL 240 AND INITIATED IN-FLIGHT ENGINE START PROCEDURE, ENGINE START NORMAL, CLIMBED BACK TO FL 360. ALL ENGINE INDICATIONS NORMAL. COMPLETED ALL EMERGENCY CHECKLIST AND ABNORMAL PROCEDURES IAW SOP. REPLACED NR 1 ENGINE DRIVEN FUEL PUMP IAW M/M 73-10-1. ALSO REPLACED FUEL FILTER (MAIN) IAW M/M 73-11-10 (P/N: NR CH0697101552M00 FILTER) PERFORMED SUCCESSFUL LEAK CHECK AND MAX. POWER ASSURANCE RUN (ALL PARAMETERS WITHIN LIMITS) IAW JRH 11.8 AND 13.3. AIRCRAFT OK FOR SERVICE.