A310 CREW HAD AN ECAM 'ENG #1 FAIL' WARNING. THE TWR RPTED FLAMES FROM THE L WING AREA.

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ON SEP/THU/02; I WAS THE CAPT ON FLT FROM ZZZ TO BUR; CA. FO WAS FLYING THE LEG. ON LNDG ROLLOUT AT BUR; ECAM RPTED 'ENG #1 FAIL.' I ADVISED THE TWR OF OUR ENG FAIL INDICATION; AND TWR RPTED 'FLAMES WERE COMING OUT OF THE L ENG.' BASED ON TWR INFO; I CLOSED THE FUEL CTL LEVER; PULLED THE FIRE HANDLE AND DISCHARGED THE FIRE AGENT. ARPT CFR TRUCKS INSPECTED THE ACFT AND STATED NO FIRE FROM ENG COULD BE SEEN. MAINT TOWED ACFT TO HANGAR. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE CREW WAS LNDG ON RWY 8. THIS LEAVES 4806 FT TO STOP AFTER A LNDG AT THE 1000 FT POINT. THIS IS EXTREMELY SHORT FOR A 300000 LB ACFT. THE APCH WAS FLOWN TO MINIMUMS; AND IT WAS DARK. THE FO WAS ANXIOUS ABOUT GETTING STOPPED AND PROBABLY USED MORE REVERSE THRUST THAN NORMAL. HE ALSO DID NOT COME OUT OF REVERSE THRUST AS SOON AS HE SHOULD HAVE. THIS RESULTED IN A SERIES OF ENG STALLS; WHICH TRIGGERED THE ECAM ENG FAIL WARNING. EACH TIME THE ENG SURGED; FLAME CAME OUT THE TAIL PIPE; CAUSING THE TWR WARNING OF FIRE. MAINT BORESCOPED THE ENG. NO DAMAGE WAS FOUND. THE FIRE BOTTLE WAS REPLACED; AND THE ACFT DEPARTED ON TIME THAT EVENING.