As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
FCO - FL 3 - AFTER TAKEOFF, CREW RECEIVED EICAS MESSAGES 'R ENG FIRE LP' AND 'R ENG OVHT LP', FOLLOWED BY THE RIGHT FIRE LIGHT AND FIRE BELL. THE CREW REDUCED POWER ON THE RIGHT ENGINE, AND THE INDICATIONS CEASED. FLIGHT RETURNED TO FCO AND LANDED WITH NO FURTHER INCIDENT. MAINTENANCE REPLACED THREE FIRE DETECTION LOOPS AND ONE OVERHEAT LOOP. REFERENCE USAABB97082.