NMAC WITH ACFT WHILE ENTERING THE VNY FINAL APCH RWY 16R.

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CONTACT MADE WITH VNY TWR REQUEST LNDG. TWR SAID MAKE RIGHT BASE 16 R (VNY HAS 16L 16R). APCH WAS FROM THE W. 16R BASE ENTRY MADE. TWR CLRED TO 16L?? MADE WIDER BASE. TWR SAID CLRED 16R. LANDED 16R W/O FURTHER COMMENT. NO TFC CALLED. SOME DAYS LATER FAA CALLED TO SAY SOMEONE RPTED NEAR MISS WITH MY PLANE. IT IS NOT KNOWN WHERE THE COMPLAINANT WAS OR HOW NEAR. CORRECTIVE ACTIONS: AFTER BEING CLRED 16R; A REPEAT OF THE CLRED TO LAND WAS UNCLR IF 16L OR 16R. I BELIEVED THAT THE RWY WAS SHIFTED TO 16L PARTLY BECAUSE THIS IS THE SHORT RWY USED BY GA. 16R IS USED BY ANG WITH LARGE MIL ACFT. PLT COULD HAVE CONFIRMED THE RWY SWITCH. TWR SHOULD HAVE CALLED TFC IF IT WAS NEAR ENOUGH TO BE A PROB. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING: FAA CONTACTED RPTR AND ADVISED THEY HAD RECEIVED A RPT OF NMAC; 20'. NO INFORMATION GIVEN AS TO TYPE ACFT; POS OF INCIDENT OR WHERE THE CONFLICTING ACFT WAS GOING. NO INFORMATION FROM THE TWR REF TFC AND AT NO TIME DID THE TWR MENTION AN NMAC. FAA GOING TO LISTEN TO THE TWR TAPES. RPTR HAS NOT HEARD ANY MORE FROM THE FAA. ONLY FLIES INTO VNY OCCASIONALLY.