What was found
IFSD - EMERGENCY DECLARED -AT FL 360 REC'D SELECT FADEC ALT ALERT THEN A NR 2 FUEL PUMPS OFF ALERT FOLLOWED BY FLAME OUT OF NR 2 ENGINE. DESCENDED TO FL 280 AND RESTARTED ENGINE. T/S IN PROGRESS IAW FIM 70-01-02, FIG 104, 72-01-03 FIG 105 & BOW TS252566. ACCOMPLISHED FIM 71-01-02 ENGINE FLAMEOUT. FUEL FLOW OK BLOCK 1 TO BLOCK 5, NO FAULT NOTED. ACCOMPLISHED BILL OF WORKS TS2566. NO FAULTS NOTED. REPLACED S1-222 FUEL C/O SWITCH IAW AMM 76-12-01.