ZHU WORKING AN N265 AT FL350 WBOUND IN THE GULF OF MEXICO. ZHU CTLR RECEIVES A MESSAGE FROM NY COMMERCIAL RADIO ON A NBOUND DC9; ALSO AT FL350; IN THE SAME APPROX LOCATION WORKING MERIDA CTR. THE ZHU CTLR ISSUED AN IMMEDIATE CLB INSTRUCTION TO N265 AND AN IMMEDIATE DSCNT INSTRUCTION TO THE DC9 WHEN THE PLT CHKED IN.

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ZHU WAS WORKING ACFT X; AN N265; FLL-MINOW-MAEKO-MMAN FL350. AT APPROX XA28Z OCN-D OR OCN RA RECEIVED A MESSAGE FROM NY COMMERCIAL RADIO ON AN ACR Y PAST SWORD AT FL350. WE HAD NO INFO ON THIS ACFT. THE OCN-D ADVISED SUPVR AND CALLED MERIDA CTR WHO HAD FORGOTTEN TO PASS THE FLT PLAN. AT XA29Z I ASKED ACFT X SAY COORDINATES -- 2608/8815. I EXPEDITED A CLB TO FL370 FOR ACFT X. ACR Y CHKED ON COORDINATES 2608/8815. I EXPEDITED ACR Y TO DSND FL330. 2 1/2 MINS LATER XA31Z ACFT X RPTED LEAVING FL360 AND ACR Y RPTED LEAVING FL340. THESE ACFT WERE NON RADAR IN THE GULF OF MEXICO. HOWEVER AS THESE ACFT WERE NON RADAR THIS WAS EXTREMELY DANGEROUS AND THERE IS NO KNOWN FT OR ALT FOR SEPARATION PURPOSES. BASED ON COORDINATES THEY WERE APPROX 40 MI APART AND CONVERGING WHEN WE BECAME AWARE OF THE SIT. ACR Y WAS A DC9 MMUN A626 LEV MSY. THESE TARGETS DID MERGE BASED ON COAST TRACKS NON RADAR AND COORDINATES. BOTH PLTS WERE ADVISED OF THE TFC AND BOTH WERE VERY COOPERATIVE. HOWEVER; BOTH WERE VERY LIMITED IN SPEAKING ENGLISH.