MIA APCH ISSUES TFC TO PA28; WHO OBSERVES ISSUED TFC IN AN AVOIDANCE TURN IN THE VICINITY OF FLL.

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JUST OFF V267 ON VECTORS FOR THE ILS TO RWY 9L AT OPA LOCKA; ATC CALLED TFC AT 12 O'CLOCK POS; 2 MI; BUT UNIDENTED/UNVERIFIED. I RESPONDED; 'LOOKING; NEGATIVE CONTACT.' I SEARCHED FOR SEVERAL MORE SECONDS; BUT DID NOT SEE THE TFC. AT THIS POINT; I FIGURED THE TFC MUST HAVE PASSED BEHIND ME; SO I WENT BACK TO PREPARING FOR THE APCH. AFTER A FEW SECONDS; I AGAIN LOOKED OUTSIDE FOR TFC BECAUSE I KNEW I WAS IN A VERY CONGESTED AREA ON A CLR VFR DAY. IT WAS AT THIS POINT THAT I SPOTTED ACFT #2 (A DIAMOND KATANA TRAINER) PASS JUST UNDER THE TAIL OF MY ACFT APPROX 100 FT BELOW. HE/SHE APPEARED TO BE TAKING CORRECTIVE ACTION AT THAT MOMENT; IN THE FORM OF A DSNDING L TURN. IF THAT ACFT HAD NOT TAKEN CORRECTIVE ACTION AT THAT VERY MOMENT; A COLLISION WOULD HAVE PROBABLY OCCURRED BECAUSE BY THE TIME I SAW THEM; CORRECTIVE ACTION ON MY PART WOULD HAVE BEEN TOO LATE. I DO NOT KNOW FOR SURE IF THIS WAS THE ACFT THAT ATC POINTED OUT. HOWEVER; I AM GUESSING THAT IT WAS; BASED ON THE FACT THAT BTWN THE TIME ATC POINTED THEM OUT AND THE TIME THE NEAR MISS OCCURRED; NO OTHER TFC WAS CALLED. THE FACT THAT I WAS FLYING SINGLE-PLT (AND SOLO) IFR MAY HAVE BEEN A FACTOR. AN EXTRA PAIR OF EYES WOULD HAVE LIKELY GONE A LONG WAY IN PREVENTING THIS WHOLE SIT. ALSO; BECAUSE ATC ONLY POINTED OUT THE TFC ONCE AND THEN SEVERAL SECONDS (45-60 SECONDS; BEST GUESS) PASSED WITHOUT SIGHTING THE ACFT; I ASSUMED IT WAS NO LONGER A FACTOR; AN ASSUMPTION THAT ALMOST RESULTED IN TRAGEDY.