AN ACR PLT MAY HAVE LANDED ON THE WRONG RWY.

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WE WERE CLRED THE 'MATEO RWY 5R' ARR. UPON INTERCEPTING THE RWY 5R LOC AND CALLING TWR; WE WERE NOT CLRED TO LAND ON RWY 5R. AFTER OUR COMPANY SOP 1000 FT CALL; I REPLIED 'RWY 5R INSIGHT; NOT CLRED TO LAND.' AT APPROX 500 FT WE UNDERSTOOD TWR; AND CAPT ACKNOWLEDGED VIA RADIO; TO CLR US TO LAND ON RWY 5L. I TURNED TO INTERCEPT FOR A VISUAL RWY 5L LNDG. AROUND 300 FT I SAID 'RWY IS CLR;' CAPT ACKNOWLEDGED. AS WE WERE SLOWED TO TAXI SPD ON RWY 5L; WE WERE ADVISED BY TWR WE WERE CLRED TO LAND ON RWY 5R; NOT RWY 5L. I RECALL SAYING AN APOLOGY; BUT WE HAD UNDERSTOOD CLRNC WAS FOR RWY 5L. THIS COULD HAVE BEEN AVOIDED IF TWR OR OURSELVES WOULD HAVE VERIFIED TWICE THE CORRECT RWY. I BELIEVE A SIMPLE AFFIRMATIVE OR NEGATIVE FROM THE TWR ONCE THE CAPT SAID 'CLRED TO LAND ON RWY 5L' WOULD HAVE CHANGED THE SIT. WE WERE TOLD LATER BY MEX ARPT AUTHS THAT RWY 5L WAS CLOSED. THERE WAS NOTHING IN THE NOTAMS OR ON ATIS TO ADVISE THIS CREW OF THAT. THERE ALSO WERE NO VEHICLES OR WORKERS ON RWY 5L. SUPPLEMENTAL INFO FROM ACN 316314: AT NO TIME AFTER RECEIVING THE LNDG CLRNC WAS THERE ANY DOUBT THAT WE WERE CLRED TO LAND ON RWY 5L. THE RWY APPEARED TO BE CLR AND NO VEHICLES OR PERSONNEL WERE OBSERVED ON THE RWY. CALLBACK CONVERSATION WITH RPTR ACN 316314 REVEALED THE FOLLOWING INFO: THE RPTR FLIES THE A320. AFTER TALKING TO THE ATCT PERSONNEL ON THE TELEPHONE; WHO ASSURED HIM THAT THERE WAS NO PROB; THE RPTR WAS INTERCEPTED AND DETAINED BY ARPT AUTHS. THEY TOOK COPIES OF HIS CERTIFICATES AND A STATEMENT. HIS ACR'S STATION PERSONNEL ACCOMPANIED HIM TO THE ARPT OFFICES AND INFORMED HIM THAT HE WAS IN THE MIDDLE OF A PWR STRUGGLE BTWN THE TWR AND THE ARPT AUTH. THE TAPES OF HIS XMISSIONS HAVE BEEN SENT TO THE RPTR'S ACR; BUT THE RPTR HAS NOT YET HEARD THEM. THE RWY WAS ALLEGEDLY CLOSED FOR AN INSPECTION; BUT THERE WERE NO VEHICLES OR PEOPLE ON THE RWY WHEN THE RPTR LANDED. THE RPTR HAS NOT HEARD ANYTHING FROM THE FAA ON THIS MATTER. THE RPTR VOLUNTEERED THAT HE THOUGHT THAT THERE WAS NO LANGUAGE PROB.