B757-200 DEVELOPED AN OIL LEAK IN THE LEFT ENG DURING CRUISE. ENG SHUTDOWN WAS ACCOMPLISHED; FOLLOWED BY AN EMER DIVERSION.

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WE WERE FLYING ON THE LAST LEG OF A 4 DAY TRIP. PREFLT; TKOF; AND CLB TO OUR CRUISE ALT OF FL370 WERE ALL NORMAL. WE HAD BEEN AT CRUISE ABOUT 1 HR. CAPT WAS PF. WE WERE JUST PAST ZZZ WHEN WE GOT AN EICAS LOW OIL PRESSURE MESSAGE; THE ENG OIL PRESSURE LIGHT AND THE OIL QUANTITY WAS SHOWING 0. WE DECLARED AN EMER AND THE CAPT SAID TO RUN THE APPROPRIATE CHKLISTS. WE RAN THE LOW OIL PRESSURE; ENG FAILURE/SHUTDOWN AND DRIFT DOWN CHKLISTS. THE CTR IMMEDIATELY SUGGESTED THAT ZZZ WAS THE NEAREST ARPT; AND WE AGREED. THE CAPT COORD WITH THE PURSER AND TOLD HER THE ACFT STATUS AND THAT WE WOULD BE TURNING AROUND AND LNDG IN APPROX 20 MINS UNDER A CABIN ADVISORY. HE MADE MORE THAN 1 PA ADVISING THE PAX WHAT WAS HAPPENING. WE REQUESTED A VECTOR TO ZZZ AND A 10 MI FINAL TO RWY 8. WE ALSO REQUESTED LNDG DATA FOR ZZZ WITH OUR ESTIMATED LNDG WT; SINCE WE WERE CLOSE TO MAX. THE CAPT MADE A FANTASTIC APCH AND LNDG; APPROX 30 MINS FROM ENG SHUTDOWN. WE ASKED TWR; RESCUE AND THE FLT ATTENDANTS TO LOOK FOR ANY DAMAGE TO THE L ENG THAT WOULD PROMPT AN EVAC. ALL RESPONSES WERE NEGATIVE. CUSTOMER SVC DID A FANTASTIC JOB IN A BAD SITUATION DEALING WITH THE PAX. I CAN'T SAY ENOUGH ABOUT THE CAPT AND HIS PROFESSIONALISM. HIS CALM MANNER THROUGHOUT THIS HAD A GREAT EFFECT ON THE ENTIRE ACFT. HE TOOK COMMAND OF THE SITUATION; WHILE AT THE SAME TIME CONSTANTLY SEEKING MY INPUT AND CONFIRMING ANY ACTIONS HE WAS GOING TO MAKE. I FELT TOTALLY IN THE LOOP WITH HIM AND PART OF THE TEAM. ONCE ON THE GND; HE SPENT A GREAT DEAL OF TIME WITH THE PAX ANSWERING THEIR QUESTIONS AND MAKING THEM FEEL AT EASE ABOUT GETTING ON THE REPLACEMENT ACFT. HE TURNED A BAD SITUATION INTO A PLUS IN THAT MANY PAX TOLD US HOW IMPRESSED THEY WERE WITH HOW HE AND THE COMPANY HANDLED THIS. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE REPORTER STATED THAT THE LOW OIL PRESSURE EICAS MSG APPEARED; AND THE FLT CREW OBSERVED THE OIL QUANTITY DECREASING. THE LEFT ENG WAS SHUT DOWN TO PREVENT AN ENG SEIZURE; AND THE LNDG WAS 2000 LBS BELOW MAX LNDG WT.