NMAC BTWN A CPR GULFSTREAM IV BEING VECTORED TO INTERCEPT THE FINAL LOC COURSE AND AN ATR72 LEVEL CONVERGING ON THEIR COURSE. THE G4 RESPONDED TO THEIR TCASII RA BY STARTING A DSCNT AT THE SAME TIME THAT APCH CTLR GAVE THEM A TURN AND DSCNT FOR THE APCH.

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WE WERE HANDED OFF TO INNSBRUCK RADAR (APCH CTL) ON 119.27. RADAR GAVE US A VECTOR HEADING OF 080 DEGS AS WE PROCEEDED TOWARDS THE RTT NDB; AND WE WERE CLRED DOWN TO 10000 FT ON QNH. AT THIS TIME I WENT OFF FREQ TO OBTAIN THE LATEST ATIS. I HAD TO LISTEN TO THE ATIS AT LEAST 3 TIMES TO GET ALL THE INFO. VOICE QUALITY WAS GOOD; BUT THERE WAS MORE INFO BEING GIVEN THAN JUST LCL ARPT SURFACE DATA. I TOLD THE CAPT; THE PF THAT I WAS BACK ON FREQ. WE WERE NOW ON A 070 DEG HDG. THE TCASII WAS SHOWING 1 TARGET AT ABOUT OUR 2 O'CLOCK POS. WE BELIEVE THE OTHER ACFT WAS AN ACR ATR72. OUR GULFSTREAM IV BEGAN A R TURN TO INTERCEPT THE 211 DEG TRACK FROM RTT NDB TO THE INITIAL LOC INTERCEPT POINT (D22.0 OEV). I ASKED THE CAPT IF WE WERE CLRED FOR THE APCH. HE SAID I THINK WE WERE; BUT THE TCASII TFC WAS NOW GETTING CLOSER TO US. I WENT TO CALL RADAR BUT HE WAS BUSY TALKING. WE GOT A TA THEN AN RA WITH 'DSND; DSND NOW' COMMAND FROM TCASII JUST AS RADAR TOLD US TO TURN L AND DSND. HE THEN GAVE US A VECTOR HEADING OF 020 DEGS (?). THIS OCCURRED AT APPROX XA15Z TIME. WE HAD PASSED OVERHEAD ALGOI INTXN AT XA57Z. WE WERE NOW GIVEN A SERIES OF VECTOR HEADINGS AND 360 DEG TURNS. AT THE CONCLUSION OF THE SECOND 360 DEG TURN; RADAR ASKED OUR HEADING. I TOLD HIM 220 DEGS (I DON'T EXACTLY REMEMBER THE HEADING). HE TOLD ME WE SHOULD BE ON 360 DEGS. I RETORTED THAT IF I'M ON 220 DEGS AT THE BEGINNING OF A 360 DEG TURN; THAT'S THE HEADING THAT I WILL END UP ON. WE TURNED TO 360 DEGS. RADAR THEN VECTORED US AROUND TO INTERCEPT THE LOC COURSE. OUR HANDLER WAS ON THE RADIO LISTENING AND HEARD WHAT HAD HAPPENED. HE ASSURED US THAT NO ACTION WOULD BE TAKEN. THAT'S ALWAYS COMFORTING; BUT THERE ARE A FEW THINGS THAT CAN BE LEARNED FROM THIS INCIDENT: YOU CAN IMAGINE HOW TIRED WE WERE AT THE END OF THIS TRIP. THE CAPT SAID HE WAS FIXATING ON THE TCASII TARGET. I KNOW THAT I WAS SLUGGISH IN SOME OF MY DUTIES. THE CAPT IS AN EXCELLENT PLT. THIS INDIVIDUAL IS VERY THOROUGH; VERY COMMUNICATIVE; AND VERY PRO-ACTIVE. HE DOES NOT DO THINGS WITHOUT A REASON. DURING THE TIME THAT I WAS OBTAINING THE ATIS; SOMETHING HAD TO HAVE BEEN SAID BY RADAR THAT LED HIM TO BELIEVE THAT RADAR CLRED US FOR THE APCH SINCE THE ACFT WAS PLACED BACK INTO LNAV FROM HEADING MODE. RADAR WAS SPEAKING TO US IN ENGLISH AND TO SOME OF THE OTHER ACFT IN GERMAN. I THINK THIS IS WHERE SOME OF THE CONFUSION BEGAN; AS WE WEREN'T SURE WHAT THIS OTHER ACFT ON THE TCASII WAS DOING; OR GOING TO DO. THE EXCHANGE THAT I HAD WITH RADAR REGARDING THE 360 DEG TURNS SUPPORTS ABOVE. IN RETROSPECT; I THINK WHAT RADAR WANTED US TO DO WAS 'TURN R TO 360 DEGS;' INSTEAD HE TOLD US TO DO A 'R 360 DEGS.' WE LANDED AT LOWI AT XB30Z AFTER EXECUTING THE APCH AND A CIRCLE TO LAND RWY 8.