A B777 FLIGHT CREW ON AN INTERNATIONAL FLIGHT NOTED AN 'ENGINE RESPONSE' ALERT MESSAGE AND RAN THE PROCEDURE. THE ENGINE RAN NORMALLY THEREAFTER.

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THIS STATEMENT IS CONCERNING THE OP OF FLT X DEPARTING SHANGHAI; CHINA TO ZZZ. I WAS 1 OF 2 FO'S ABOARD AND THERE WERE 2 CAPTS ABOARD. AT APPROX XA00; I WAS IN THE CREW REST FACILITY AND WAS AWAKENED BY A CALL STATING THAT THERE HAD BEEN AN ISSUE WITH ONE OF THE ACFT ENGS AND TO RPT TO THE COCKPIT. UPON ENTERING THE FLT DECK; THE ON-BREAK CAPT AND I WERE BRIEFED ON THE ENG RESPONSE ALERT THAT WAS SENSED ON THE #2 ENG. WE REVIEWED THE ENG RESPONSE PROC AND THE ACTIONS TAKEN BY THE ON-DUTY CAPT AND FO. IT APPEARED THAT THE ENG WAS OPERATING NORMALLY AT THAT TIME. WE ALSO REVIEWED THE RECENT AIRLINES B777-200ER ACFT OPERATING MANUAL BULLETIN DEALING WITH FUEL ICING AND THE ENG RESPONSE PROC. THE ON-BREAK CAPT AND I STAYED ON THE FLT DECK HELPING THE ON-DUTY CREW STAY AWARE OF ALL DIVERSION OPTIONS AND RELATED WX CONSIDERATIONS. BECAUSE OF THE CONTINUED OP OF THE #2; WHICH HAD BEEN APPARENTLY RETURNED TO NORMAL OP BY THE COMPLETION OF THE ENG RESPONSE CHKLIST; WE ELECTED TO CONTINUE THE FLT TO ZZZ. THE ON-BREAK CAPT AND I ASSUMED CTL OF THE ACFT ABOUT 1 HR PRIOR TO LNDG; ENSURED EACH ENG RESPONDED TO MAX CLB THRUST PRIOR TO DSCNT AND PERFORMED AN UNEVENTFUL LNDG WITH THE OTHER CAPT AND FO ASSISTING.