What was found
THE ENG 1 TLA EICAS MSG APPEARED IN FLIGHT. FOLLOWED QRH AND DIVERTED TO NEAREST SUITABLE AIRPORT. THE NUMBER 1 ENGINE FAILED WHILE TAXIING IN TO THE GATE. MSG PRESENT FAIL ICON ON NR 1 N1 GAUGE. ENGINE 1 FAIL MSG ACCOMPANIED ENG 1 NO DISPATCH ENG SHORT DISPATCH. THREE MINUTES AFTER SHUTDOWN OF THE ENGINE NR 1, RECEIVED THE ENG/NO DISPATCH AND ASSOCIATED FADEC FAULT MESSAGE. REMOVED AND REPLACED ENG NR 1 FADEC IAW AMM 73-21-01. PERFORMED OPS CHECK AND CHECK GOOD. PERFORMED HIGH POWER ENGINE RUN IAW AMM CH 72-00-00. NO DEFECTS NOTED. OK TO CONTINUE SERVICE.