THE FO; PF; OF A B767 EXPRESSED CONCERN THAT HE LANDED WITHOUT PERMISSION AT MIA. AFTER HAVING MADE A GAR TO RWY 9 DUE TO A CESSNA ON THE RWY; AND BEING KEPT IN THE PATTERN FOR LNDG ON RWY 8R; THE FLT CREW WAS ULTIMATELY ISSUED A SIDESTEP FOR RWY 8L.

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ON FINAL APCH TO RWY 9 AT MIA; ABOUT THE MARKER INBOUND; WE WERE ISSUED A WARNING BY MIA TWR THAT A CESSNA WAS ATTEMPTING A LNDG ON RWY 9 WITHOUT RADIO CONTACT. THE TWR WARNED US OF A POSSIBLE GAR. WE WERE THEN TOLD TO GAR; DUE TO THE CESSNA NOT EXITING THE RWY; AT ABOUT 300 FT. A SUCCESSFUL GAR WAS MADE (HAND FLOWN) AND A TURN OUT TO THE S WAS INITIATED. I KEPT THE ACFT AT ABOUT 210 KTS AND MAINTAINED FLAPS 5 DEGS FOR THE PATTERN WORK BACK TO THE N RWYS. I KEPT THE AIRSPD DOWN TO FACILITATE A BETTER SEQUENCE TO FINAL WITHOUT FLYING TOO FAR W OF THE FIELD WHERE THERE WERE TSTMS WITH LIGHTNING AND RAIN SHOWER ACTIVITY. THE APCH CTLR SEQUENCED US BACK TO RWY 8R. THE CAPT; AS A BACK-UP; PUT IN THE ILS FOR RWY 8R. WE WERE THEN TOLD THAT TWR HAD TOO MANY DEPS ON RWY 8R AND WANTED US TO LAND ON RWY 8L. THIS HAPPENED AT ABOUT 8-10 MI FINAL. WE ACCEPTED THE VISUAL FOR RWY 8L AND PROCEEDED TO THE LNDG RWY WITH CLRNC FOR THE VISUAL. THE CHKLIST WAS ACCOMPLISHED AND WE LANDED ON RWY 8L. AFTER CLRING RWY 8L AND WAITING AT THE INTXN TO RWY 8R FOR CLRNC TO CROSS; I LOOKED DOWN AT THE #1 VHF AND WENT TO DIAL IN THE GND FREQ ON THE OTHER HEAD. I NOTICED THAT TWR FREQ AND APCH FREQ WERE SET AND THE SWITCH WAS STILL ON THE APCH FREQ. I QUERIED THE CAPT AS TO IF WE HAD RECEIVED CLRNC TO LAND DUE TO THE FACT THAT THE SWITCH WAS STILL ON THE APCH CTL SIDE. I WASN'T SURE IF HE HAD FORGOT TO SWITCH; OR SWITCHED BY ACCIDENT AFTER WE LANDED; TO THE OTHER HEAD. WE CALLED THE TWR AFTER THE EVENT (BY LANDLINE) AND THEY TOLD US THAT THEY WEREN'T AWARE OF US LNDG WITHOUT CLRNC DUE TO THE FACT THAT THE CESSNA AIRPLANE WAS NOW A MAJOR DISTR TO THEM BECAUSE IT HAD CLOSED RWY 9. I WOULD LIKE TO GIVE SOME PROPS (GOOD ON YA'S) TO THE TWR CTLR. IT WAS HIS ATTN TO DETAIL THAT AVERTED A POSSIBLE GND INCIDENT WITH OUR ACFT AND THE CESSNA AIRPLANE THAT HAD MEANDERED INTO THE MIA ATA. WE LATER FOUND OUT THAT THE CESSNA HAD MISSED THE INTXN TURNOFF AND HAD TURNED AROUND ON THE RWY TO GO BACK TO THE EXIT. AT THE TIME THAT WE WENT AROUND; THE CESSNA PLANE MADE A TURN OFF THE RWY INTO THE GRASS. THE OCCUPANT OF THE CESSNA WAS PICKED UP WALKING AWAY FROM HIS AIRPLANE AND FOUND TO NOT HAVE A LICENSE OR A MEDICAL. UPON FURTHER INVESTIGATION; HIS WIFE AND 2 KIDS WERE FOUND STILL IN THE ACFT NOW SITTING IN THE GRASS AREA JUST OFF RWY 9. THE POSSIBILITY THAT WE LANDED WITHOUT TALKING TO TWR IS STILL BOTHERSOME TO ME; BUT THE EXTRA RADIO CALLS AND THE CLRING AND LOOKING FOR ADDITIONAL TFC ALERTS ON FINAL CAUSED SOME UNUSUAL ACTIVITIES IN THE COCKPIT. THE SPACING WITH OTHER ACFT ON FINAL FOR RWY 8L WAS NEVER A PROB AND THE RWY WAS CLR WITH NO TFC CONFLICTS AROUND THE RWY. THE TWR CTLR SAID THERE WEREN'T ANY CONFLICTS.