A B757-200 EXPERIENCES AN INTERNAL ENG FIRE WHILE AT THE RAMP AFTER ENG SHUTDOWN AT PHX; AZ.

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ON APR/SAT/00; AT APPROX AH15 LCL AT PHOENIX SKY HARBOR ARPT; WE EXPERIENCED AN ENG FIRE. THE FLT HAD BEEN ROUTINE WITH NO ABNORMAL ENG INDICATIONS. WE LANDED AND WERE TOLD OUR GATE WAS NOT AVAILABLE. WE PARKED ON THE RAMP FOR APPROX 10 MINS. WE SHUT DOWN THE R ENG. WE STARTED THE APU APCHING THE GATE. AFTER THE PARKING BRAKE WAS SET; I SHUT DOWN THE L ENG. ALL ENG INDICATIONS WERE NORMAL. THERE WERE NO FIRE WARNINGS IN COCKPIT. WE COMPLETED THE SHUTDOWN CHKLIST. I REMAINED IN THE COCKPIT FOR 8-10 MINS MORE PROGRAMMING THE COMPUTERS AND CONFIGURING FOR OUR RETURN FLT. NO ONE FROM THE RAMP AT ANY TIME COMMUNICATED ANY PROB TO US OVER THE HEADSET. A GATE AGENT CAME INTO THE COCKPIT AS I WAS WORKING AND TOLD ME THERE HAD BEEN A L ENG FIRE. I LEFT THE COCKPIT AND WENT ONTO THE RAMP WHERE I SPOKE TO AIRLINE RAMP PEOPLE. I WAS INFORMED THAT THEY SAW FLAMES AND USED AN EXTINGUISHER ON THE ENG. I RETURNED TO THE AIRPLANE AND ASKED THE FLT ATTENDANTS TO WAIT INSIDE THE TERMINAL -- ALL PAX HAD DEPLANED AT THIS TIME. I RETURNED TO THE RAMP WHERE A MECH (NON COMPANY) AND FIREMEN HAD RAISED EITHER SIDE OF THE COWLING. I COULD SEE NO SIGNS OF A FIRE. I COULD SEE A LARGE AMOUNT OF EXTINGUISHER. THERE WAS NO VISIBLE INDICATION ANYWHERE OF A FIRE. WE WERE INFORMED THE PLANE WOULD NEED AN ENG CHANGE. WE DEADHEADED BACK TO CHICAGO O'HARE ARPT. I FEEL THE MOST SIGNIFICANT PROB WAS A COMPLETE LACK OF COM BTWN RAMP AGENTS AND THE COCKPIT.