AN S80 ON APCH TO DFW; DSNDING THROUGH 6500 FT; HAS A POTENTIAL CONFLICT WITH A REGIONAL JET XING 3 MI AHEAD AT 6000 FT.

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I WAS FLYING. THE AUTOPLT WAS ENGAGED. THE CAPT WAS OPERATING THE RADIO. APCHING DIETZ ON THE CEDAR CREEK ARR; WE RECEIVED A HDG TO INTERCEPT THE RWY 35R LOC AND A DSCNT TO 5000 FT. THE ALT AND HDG WAS READ BACK BY THE CAPT; SET AND ARMED AS PER STANDARD PROCS. I ACKNOWLEDGED THE ALT AND HDG. AS WE DSNDED BELOW APPROX 7500 FT; I NOTICED ANOTHER ACFT ON TCASII AT 12 O'CLOCK AND CLOSING WITH US -- AN APPARENT CONFLICT. ACCORDINGLY; I SLOWED THE DSCNT RATE TO 1000 FPM. AS WE PASSED 6800 FT; THE CTLR ISSUED A TA AND INSTRUCTED US TO TURN 30 DEGS R AND CLB TO 7000 FT. WE SAW THE OTHER ACFT AND WOULD NOT CLASSIFY IT AS A NEAR MISS. THE CTLR DID NOT ATTEMPT TO BLAME US OR SUGGEST WE WERE NOT COMPLYING WITH OUR CLRNC. SINCE WE FOLLOWED THE STANDARD PROCS FOR ALT AND HDG CHANGES; WE ARE BOTH CONFIDENT OF OUR CLRNC. IT APPEARS TO HAVE BEEN CTLR ERROR WHICH RESULTED IN THE CONFLICT. LESSON LEARNED: THE HABIT OF FOLLOWING STANDARD PROCS FOR SETTING AND ARMING ALTS AND HDGS IS THE BEST AND SAFEST WAY TO AVOID DEVS. SUPPLEMENTAL INFO FROM ACN 429928: WE WERE BEING VECTORED FOR THE RWY 35R ILS APCH TO DFW ON A 300 DEG HDG AND CLRED TO 5000 FT. PASSING APPROX 6500 FT WE RECEIVED TCASII TFC ALERT; FOLLOWED SHORTLY BY CTLR INSTRUCTIONS TO IMMEDIATELY CLB TO 7000 FT AND TURN R TO 330 DEGS. WE SAW AN RJ PASS R TO L AND SLIGHTLY BELOW OUR POS.