B757 FLT CREW AT FL360 REPORTS SMELLING ELECTRICAL FUMES IN THE FORWARD CABIN AND DIVERTS TO THE NEAREST SUITABLE ARPT.

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PURSER CALLED DURING CRUISE TO RPT STRONG BURNING SMELL IN GALLEY AREA. I NEEDED A RESTROOM BREAK; SO I WENT BACK TO THE GALLEY; BUT COULD NOT SMELL ANYTHING BURNING. THERE WAS A FAINT ODOR IN THE FORWARD LAVATORY; BUT I COULDN'T DETERMINE THE ORIGIN AND THERE WERE NO DETECTABLE HOT SPOTS. EXITING THE LAVATORY AREA; ANOTHER FLT ATTENDANT SAID SHE DETECTED THE ODOR NEAR THE L FORWARD DOOR; BUT WE STILL COULDN'T PINPOINT THE LOCATION. I FINALLY NOTICED THE SMELL AGAIN WHEN I OPENED THE LAVATORY DOOR; BUT IT WAS STILL VERY FAINT. HEADING BACK UP TO THE COCKPIT; I TOLD THE FO THAT I WAS CONSIDERING GOING TO ZZZ; BUT WANTED HIM TO CHK AND SEE IF HE COULD LOCATE THE SOURCE. HE BRIEFLY WENT BACK AND RETURNED TO RPT THAT THE SMELL WAS NOW PRETTY STRONG; SO WE DECLARED AN EMER AND DIVERTED TO ZZZ. MECHS LATER DETERMINED THAT A SWITCH MOUNTED ON THE FORWARD LAVATORY DOOR FRAME; WHICH TURNS ON AN OVERHEAD LIGHT IN THE LAVATORY WHEN THE DOOR IS LOCKED; HAD FAILED AND THE BURNING SMELL WAS THE SWITCH WIRING AND BULKHEAD INSULATION.