TFC CONFLICT IN BRASILIA CTR AIRSPACE RESOLVED BY TCAS WITH NO APPARENT CONCERN FROM ATC CTLR.

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SE BOUND ON RNAV RTE AT FL330 APCHING DAGLO WITH INSTRUCTIONS TO CONTACT BRASILIA CTR AT DAGLO WE RECEIVED TCAS TA DEAD AHEAD AT 32500 CLBING IMMEDIATELY FOLLOWED BY A CLB RA. FOLLOWED RA GUIDANCE AND ALSO INITIATED A 10-15 DEG HEADING CHG TO THE R. ACQUIRED TARGET VISUALLY AT FL330 AND ON TRACK NBND; PRIVATE JET WHICH PASSED APPROX 800 FT BELOW US AND 1/2-1 MI TO OUR L DUE TO OUR R TURN. WE ADVISED BRASILIA CTR AND WERE TOLD RADAR CONTACT THANK YOU. HIGHLY RECOMMEND TCAS BE MANDATORY FOR DISPATCH TO LATIN AMERICA ALSO SOME INVESTIGATION SHOULD BE MADE INTO BRASILIA CTR ABILITY TO HANDLE LOCAL RADAR TFC AS WELL AS NON RADAR OVER FLTS ON SEVERAL OCCASIONS BRASILIA HAS SEEMED OVERWHELMED BY LOCAL RADAR TFC AS EVIDENCED BY OUR IMMEDIATE 100 DEG HEADING CHG REQUIRED ON OUR RETURN TRIP. THE LATTER INCIDENT DID NOT RESULT IN A LOSS OF SEPARATION BUT REQUIRED US TO GO TO 25 DEGS OF BANK AT FL330 TO ACHIEVE SEPARATION. AGAIN BRASILIA SEEMED SATURATED. COMS (LANGUAGE) DIFFICULTIES WITH THE OTHER ACFT COUPLED WITH THE FACT THAT HE SEEMED TO POP UP UNANNOUNCED CONTRIBUTED TO BRASILIA'S DIFFICULTY. I AM ALSO CONCERNED ABOUT BRASILIA'S KNOWLEDGE OF THE NEW RNAV ROUTES AS WE OFTEN GET SIGNIFICANT REROUTES UPON ENTERING BRASILIA AIRSPACE WHEN ON RNAV RTE UT799 SBND.