OPERROR NMAC LTSS INVOLVING ACR X AND ACR Y ON CONVERGING-XING COURSES AT THE SAME ALT.

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WE HAD A NMAC WITH ANOTHER ACFT OVER SULAL. I TOOK THE ACFT OFF THE AUTOPLT AND STARTED A HARD L TURN. THE OTHER ACFT THEN PASSED L TO R VERY CLOSE TO OUR R WING. MAGADON ATC TOLD US THE OTHER ACFT WAS A RUSSIAN IL62 LEVEL AT OUR ALT OF 10600 METERS. THERE WAS NO TCASII TFC OR WARNING. THERE WAS NO PAX INJURY OR ACFT DAMAGE. SUPPLEMENTAL INFO FROM ACN 315935: FLYING IN RUSSIAN AIRSPACE AT 10600 METERS. FLYING S ON B337 OVER SULAL INTXN WE HAD A VERY NEAR MISS WITH A RUSSIAN IL62 AIRLINER. WE WERE BOTH UNDER ATC CTL AND CRUISING AT 10600 METERS BOTH XING SULAL AT XX44Z. WE WERE ON AN APPROX 220 DEG HDG. THE IL62 WAS ON ABOUT A 340 DEG HDG. WE SAW THE IL62 ABOUT 2-3 SECONDS BEFORE THE POTENTIAL COLLISION AND MADE A HARD L TURN. WE MISSED BY LESS THAN 1000 FT. WE HAD NO TCASII WARNING. WE WOULD HAVE COLLIDED WITHOUT THE TURN. SUPPLEMENTAL INFO FROM ACN 317656: ON DUTY CAPT AND FO OBSERVED (SIMULTANEOUSLY) TFC APCHING RAPIDLY FROM L (ABOUT 45 DEGS) AT SAME ALT. CAPT IMMEDIATELY MANUALLY COMMENCED HARD L ROLL TO 30 DEG OR 35 DEG BANK ANGLE. WHILE IN THIS ALT; IL62 CROSSED IN FRONT OF OUR ACFT 500-600 FT AHEAD AT ALT. OUR ACFT EXPERIENCED BRIEF MODERATE TURB. VERBAL EXCHANGE IN RUSSIAN (VERY SPIRITED) BTWN (QUITE EVIDENTLY) IL62 CAPT AND ATC CTLR; AS WELL AS CTLR RESPONSE TO QUERIES; LEADS US TO BELIEVE THIS WAS AN ATC ERROR. INITIAL INVESTIGATION INDICATES LIKELY CTLR ERROR (NO TCASII ALERT DUE INCOMPARABILITY OF EQUIP). RECOMMENDATIONS: INSTALLATION OF COMPARABLE AUX XPONDER IN EITHER UNITED STATES ACFT FLYING OVER SIBERIA OR IN RUSSIAN ACFT WITHIN RUSSIA. I UNDERSTAND THAT 3000 XPONDER PREVIOUSLY REMOVED FROM ACR ACFT ARE AVAILABLE. CALLBACK CONVERSATION WITH RPTR OF ACN 316035 REVEALED THE FOLLOWING INFO: RPTR INDICATES THAT SUBSEQUENT INVESTIGATION REVEALED THAT THE CTLR ERROR WAS THE CAUSE OF THE NMAC LTSS. HE STATED THAT THE CTLR WAS AWARE OF THE CONFLICT AND ATTEMPTED TO CLB THE IL62 TO A HIGHER ALT BUT THE FLC WERE UNABLE TO ACCEPT THE ALT. THE RPTR INDICATED THAT THE CTLR DID NOTHING ELSE TO PREVENT THE CONFLICT. WHEN ASKED BY ANALYST IF THEY WERE UNDER RADAR CTLR; RPTR SAID NO. HE INDICATED THAT RUSSIAN ACFT OPERATE APPROPRIATE TCASII EQUIP ON INTL RTES AND NOT DOMESTICALLY.