ANOTHER PLT ALLEGES THE RPTR 'FLEW OVER THE TOP' OF HIM. THE RPTR NEVER SAW THE OTHER PLT.

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I WAS IN A VFR FLT USING FLT FOLLOWING FROM BRYON COULTER (CFO) TO SAN ANTONIO INTL (SAT). SAT APCH HAD ME PROCEED DIRECT TO THE SAT VOR. APPROX 10-15 MI FROM THE VOR I ASKED IF I COULD HAVE RWY 12R AFTER BEING TOLD I WOULD USE RWY 12L. I WAS TOLD NO BECAUSE THERE WAS ALREADY TOO MUCH TFC IN SEQUENCE FOR RWY 12R. APPROX 3-4 MI FROM THE VOR I WAS TOLD TO ENTER A L BASE FOR RWY 12L AND TO CONTACT THE TWR. I TURNED FROM A HDG OF APPROX 210 TO 190 TO HEAD TOWARD THE ARPT. APPROX 3-4 MI FROM THE ARPT I TURNED BACK TO A HDG OF 210 ON A HIGH L BASE FOR RWY 12L. THE LCL CTLR WAS HAVING TROUBLE CONTACTING A MOONEY (MY ACFT WAS ALSO A MOONEY) THAT WAS FOLLOWING A CESSNA (172 I THINK). I WAS CLRED TO LAND ON RWY 12L. I WAS HIGH AND USED FLAPS; GEAR AND SPD BRAKES TO DSND. JUST AS I WAS TOUCHING DOWN ON RWY 12L; A PLT CAME ON THE AIR AND SAID SOMEONE FLEW OVER THE TOP OF HIM. TWR DID NOT ANSWER. HE CALLED AGAIN IN 10-15 SECONDS AND STATED AGAIN THAT AN AIRPLANE FLEW OVER THE TOP OF HIM AND WAS NOW IN RWY 12L (ME). TWR TOLD HIM TO MAKE A 360 DEG. I KEYED MY MIKE AND SAID THAT I HAD BEEN CLRED TO LAND ON RWY 12L. I NEVER SAW THE OTHER ACFT; TWR TOLD ME TO HOLD SHORT OF RWY 12R AND TO CONTACT GND. GND CLRED ME TO CROSS RWY 12R AND TO TAXI TO PARKING. I BELIEVE THE CTLR GOT CONFUSED WITH ME AND THE OTHER MOONEY (THE OTHER MOONEY HAD AT LEAST 1 LETTER IN HIS CALL SIGN; MINE IS ALL NUMERIC). I KNOW I WAS CLRED FOR RWY 12L. I WAS NEVER TOLD TO SWITCH TO RWY 12R. NEITHER THE TWR NOR GND NEVER SAID ANYTHING TO ME ABOUT MY LNDG.