POTENTIAL CONFLICT. SAME ALT OPPOSITE DIRECTION TFC IN FOREIGN AIRSPACE.

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MADE POS RPT OVER POXED (ON PACIFIC RTE A590) AT XA32Z AT FL330. SHORTLY AFTER; APPROX XA35Z; RECEIVED ATC CLRNC TO CLB TO FL350. REPEATED INSTRUCTIONS AND CLBED TO FL350. APPROX XA45Z RECEIVED TA (12-12:30 O'CLOCK POS ON 10 MI ARC). SHORTLY AFTER; RECEIVED RA AND DSND COMMAND. MADE DSNDING L TURN. MONITORED L TURN OF ONCOMING ACFT. AFTER TFC PASSED; RESUMED ON COURSE; AND CLBED BACK UP FROM FL345 TO FL350. CALLED TOKYO RADAR CTL AND ASKED TO CONFIRM ASSIGNED FLT LEVEL. TOKYO CLRED US TO FL330 AND QUESTIONED US ON TIMES OF FL CHANGES WE WERE GIVEN. WE REITERATED THE EVENTS AS I HAVE DONE HERE. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR WAS FLYING HER IOE TIME ON THE L-1011 WITH A RETIRED CAPT FROM ANOTHER ACR WHO WAS NOW A FULL TIME SIMULATOR INSTRUCTOR FOR RPTR'S AIR CARRIER. HE WAS ASSIGNED TO THIS FERRY FLT FROM HKG TO ANC TO PERFORM CHK AIRMAN DUTIES. THE RPTR STATED THAT THE FLT HAD RECEIVED NUMEROUS AMENDED ALT CHANGES WHILE ENRTE DURING THE FIRST 5 HRS. THE CREW WAS CONCERNED WITH THE FUEL REMAINING AS THE WINDS WERE NOT AS FORECAST. EACH ALT CHANGE WAS GIVEN AFTER A SELCAL WAS RECEIVED SO THE 3 CREW MEMBERS DID HAVE THEIR HEADSETS ON AND CONFIRMED THE CLRNCS. THE RPTR FEELS; AFTER A REVIEW OF THE INCIDENT WITH THE REST OF THE CREW; THAT THE ARTCC CTR IN RJTG MADE THE ERROR. THE CTLR REFUSED TO COMMIT HIS ACTIONS TO ANY ASSESSMENT. RPTR HAS NOT HEARD FROM THE FAA REGARDING THIS EVENT BUT DID SEND IN A TCASII RPT. ALT CHANGES WOULD BE MADE WITHIN A 30 MIN TIME FRAME WHICH THE CREW THOUGHT WAS UNUSUAL. CTLR TECHNIQUE OR PLANNING WAS A CONCERN. THE OTHER ACFT WAS OBSERVED TO APPARENTLY REACT TO THEIR TCASII AT THE SAME TIME AS THE RPTR'S ACFT; BUT IN THE OPPOSITE DIRECTION.