NMAC BETWEEN ARRIVING ATX-LTT AND DEPARTING ACR-LGT.

Narrative

WHILE ON IMC DSCNT; NON RADAR ON W-2 ARWY TO CDO VOR AT SANTO DOMINGO; DOMINICAN REPUBLIC; WE WERE IN A RAIN SHOWER AND GIVEN A XING RESTRICTION OF 5000' AT 13 DME ON THE 004 DEG R (184 COURSE). JUST PASSING 5500' AT 15 DME WE CAME TOTALLY CLEAR OF ALL RAIN WHEN FROM 11:30 POS I SIGHTED AN ACFT. I HAD THE COPLT FLYING THIS LEG AND COMMANDING A SLIGHT RIGHT TURN OF 15 DEGS. WITH THIS CHANGE THE LGT PASSED IN A PARALLEL COURSE DIRECTLY OFF OUR LEFT WING WITH LITTLE OR NO VERT SEP AND APPROX 500' ESTIMATED LAT SEP. I THINK I HEARD THE CALL SIGN OF THE LGT AS XYZ; OR SOMETHING SIMILAR. IT DID HAVE DARK BLUE HORIZ STRIPS. SINCE WE WERE IN A NON RADAR ENVIRONMENT AND NOW VFR WITH SANTO DOMINGO ARPT IN SIGHT; I BELIEVE I DID STATE TO SANTO DOMINGO CTL THAT I HAD ACFT IN SIGHT. HE MAY HAVE NOTED IT AND HAD US GO SOON AFTER TO TWR FREQ. THERE WAS NO COM OR INDICATION FROM THE LGT TO INDICATE HE WAS AWARE OF A NEAR MISS. I BROKE NO REGS THAT I'M AWARE OF. THIS FORM IS SUBMITTED FOR FILING ONLY TO RECORD THIS INSTANCE OF A NEAR MISS. AFTER TALKING TO SEVERAL PEOPLE (LCL); I'M TOLD THE FAA IS LOOKING AT MDSD ARPT RE: PROBS OF AIR TFC FLOW; ETC. THIS SEEMS TO BE BREAKDOWN OF CTL PROCS.