B767 CREW HAD AN EICAS WARNING OF 'R ENG OIL FILTER' AND HIGH OIL TEMP.

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DIVERSION TO SVMI (CCS) DUE TO R ENG OIL FILTER FAULT. ENRTE TO MIA AT FL350; AROUND XA00; THE RELIEF PLT POINTED OUT THAT WE HAD A 'R ENG OIL FILTER' INDICATION ON BOTH THE UPPER AND LOWER EICAS SCREENS. I GAVE THE AIRPLANE TO THE RELIEF PLT AND I PULLED OUT THE HANDBOOK. WE EXECUTED THE PROC AND THE INDICATIONS REMAINED. WE CALLED THE FLT ATTENDANTS AND ASKED THEM TO WAKE UP CAPT FROM HIS BREAK. HE CAME INTO THE COCKPIT. WE BRIEFED HIM AS TO WHAT THE PROC REQUIRES AND THE INDICATIONS THAT REMAINED. AT THIS POINT; WE HAD SATCOM WITH DISPATCH AND HAD A CONFERENCE CALL WITH MAINT CTL REGARDING OUR PROB. WE MADE A PLAN TO LAND THE AIRPLANE IN CARACAS IF THE R ENG OIL TEMP CONTINUED TO CLB. WE HAD CALLED THE #1 FLT ATTENDANT UP TO THE COCKPIT TO BRIEF HER ON OUR POSSIBLE DIVERSION. WE CONTINUED TOWARDS MIAMI. WE WERE TALKING TO MAIQUETIA CTL VIA ACFT RELAY TO GET LOWER ALT DUE TO THE REDUCED PWR SETTING ON THE R ENG. JUST BEFORE WE STARTED OUR DSCNT; THE R ENG OIL TEMP BEGAN TO CLB TOWARDS ITS LIMIT. CAPT; RELIEF PLT; AND I DECIDED THAT IT WOULD BE UNSAFE TO CONTINUE THE FLT TO MIAMI. CAPT DECLARED AN EMER AND WE GOT CLRNC TO SVMI. WE SATCOM'ED DISPATCH AGAIN AND TOLD HIM THAT WE WERE NOW PROCEEDING TO CARACAS AND THAT WE HAD DECLARED AN EMER. THE #1 FLT ATTENDANT WAS ONCE AGAIN CALLED UP TO THE COCKPIT AND BRIEFED OF THE SIT. THE CAPT BRIEFED THE ITEMS TO HER AS PER ACR OPS MANUAL. THE R ENG WAS OPERATED AT IDLE DURING THE REMAINDER OF THE FLT. THE CAPT EXECUTED A NORMAL APCH AND LNDG INTO CARACAS WHERE WE HAD THE ARPT RESCUE AND FIREFIGHTING EQUIP STANDING BY AS PER CARACAS PROCS FOR EMER ACFT. ONCE CLR OF THE RWY; THE R ENG WAS SHUT DOWN AND WE DID A SINGLE ENG TAXI TO THE GATE. SUPPLEMENTAL INFO FROM ACN 555385: I IMMEDIATELY REALIZED THAT WE NEEDED TO DSND DUE TO DETERIORATING AIRSPD. WE CONTACTED CTR FOR A DSCNT WHILE WE TROUBLESHOT THE SIT.