PLT OF SMT ACFT WAS ADVISED BY ATC AFTER LNDG THAT ANOTHER ACFT TOOK EVASIVE ACTION TO MISS HIS ACFT DURING VECTOR FOR AN APCH TO AN UNCTLED ARPT OUTSIDE THE NEARBY TCA RESULTING IN A NMAC.

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VFR MAINT TEST FLT WHICH DEPARTED BOEING FIELD; SEATTLE; WA PROCEEDING TO A LOCATION APPROX 25 TO 30 MI NW OF SEATTLE. ACFT REMAINED CLR OF THE SEATTLE TCA AND TACOMA- MCCHORD TRSA AND CLBED TO 13500 FT IN GOOD VFR CONDITIONS. AFTER COMPLETING MAINT CHKS; I BEGAN A VFR DSCNT TO RETURN TO BOEING FIELD FOR LNDG. NO CONTACT WAS MADE WITH SEATTLE APCH CTL DURING THIS MAINT FLT. DSCNT PLACED MY ACFT AT 2500 FT APPROX 22 MI NW OF SEA VOR OR 4 TO 5 MI NW OF THE CITY OF BREMERTON; WA TO ENSURE I WOULD BE BELOW THE TCA. DSCNT WAS MADE VFR WITH WX CONDITIONS ESTIMATED AT 4000 FT TO 5000 FT SCATTERED WITH VISIBILITY N AND S 5 MI; E MORE THAN 30 MI. AT APPROX 3 MI E OF BREMERTON AT 2500 FT; I CONTACTED BOEING FIELD TWR AND REQUESTED LNDG INSTRUCTIONS. BOEING TWR ASKED IF I HAD TFC OFF MY L WING. AFTER LOOKING IN THAT DIRECTION AND SEEING NOTHING; I REPLIED NEGATIVE. AFTER LNDG AT BOEING FIELD; I WAS REQUESTED TO CALL SEA APCH CTL. UPON CONTACT; A CTLR STATED THAT AS I WAS TRANSITIONING THE NW AREA OF BREMERTON A SMA ACFT WAS BEING VECTORED BY SEA APCH CTL FOR THE ILS APCH TO BREMERTON NATIONAL ARPT; AN UNCTLED AIRFIELD. THE SMA ACFT EVIDENTLY STATED THAT OUR ACFT CAME IN CLOSE PROX TO EACH OTHER AND THAT HE HAD TO MANEUVER TO AVOID MY ACFT. THE CTLR DID NOT KNOW WHETHER THE PLT OF THE SMA ACFT WOULD FILE A NEAR MISS RPT. BOTH ACFT WERE IN EXCELLENT VFR CONDITIONS AT THE TIME; AND OUTSIDE ANY POSITIVE CTLED AIRSPACE (TCA OR TRSA). I DID NOT SEE THIS ACFT AT ANY TIME AND ALSO DO NOT KNOW WHAT ADVISORIES THE SMA WAS GIVEN BY SEA APCH CTL SINCE HE WAS BEING VECTORED AND MY TRANSPONDER WAS OPERATIVE ON 1200 WITH MODE C ACTIVATED. OBVIOUSLY; THIS WAS A HAZARDOUS SITUATION SINCE VFR CONDITIONS EXISTED AND BOTH ACFT ARE REQUIRED TO AVOID EACH OTHER EVEN THOUGH 1 IS BEING CTLED BY ATC. FAR 91.113 (B).