A320 FLC ARE WARNED OF A POSSIBLE PAX DISTURBANCE DURING CRUISE FLT BY FAA FLT CENTER VIA DISPATCHER. SINCE CHK WITH CABIN CREW FOUND NO UNUSUAL ACTIVITY; COMPANY DISPATCHER CLEARED TO CONTINUE TO DEST UNEVENTFULLY TO DEST.FLT PROCEEDED.

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RECEIVED MSG FROM DISPATCH 53 MINS INTO FLT. HAVE YOU HAD ANY PAX DISTURBANCES ONBOARD ON THIS FLT? CONFIRMED NO WITH THE PURSER AND REPLIED NO; WHY DO YOU ASK? DISPATCH RESPONDED; FAA COMMAND CENTER HEARD YOU MIGHT HAVE HAD A DISTURBANCE ONBOARD; AND SO WERE TRYING TO CONFIRM THEIR INFO. WE SHALL PASS ALONG YOUR RESPONSE. STILL NO PROBS IN THE CABIN. SUSPECTED DISPATCH MIGHT BE LOOKING FOR AN OPS NORMAL CONFIRMATION ALTHOUGH THE PHRASEOLOGY WAS NOT CORRECT. ELECTED TO SEND ONE ANYWAY. DISPATCH RESPONDED QUICKLY; THANK YOU. WILL ADVISE ALL. REQUESTED FROM DISPATCH MORE INFO ON SOURCE OF THREAT; ETC. ATC THEN ASKED IF WE WERE AWARE OF A POTENTIAL PROB. WE REPLIED WE WERE TALKING TO DISPATCH ABOUT IT. THEY HINTED WE MIGHT SOON HAVE COMPANY AND WE REPLIED WE UNDERSTOOD WHAT THEY WERE IMPLYING (IE INTERCEPT). SEVERAL MSGS EXCHANGED WITH DISPATCH CONCERNING NATURE OF THREAT PHONE CALL; POSSIBLY DIVERTING; GUN THREAT; ETC. CALLED A LEVEL 2 BASED ON INDICATION A THREAT MIGHT EVOLVE. USED LEVEL 2 CHKLIST; 1ST OFFICER ADVOCATED DIVERT TO GRR; DISPATCH RECOMMENDED; NO DIVERT; ELECTED TO CONTINUE BASED ON NO CABIN IRREG OF ANY TYPE. PAX AND FLT ATTENDANT'S SEATED FOR 'TURB.' NORMAL APCH/LNDG. PAX NOT NOTIFIED OF THREAT EXCEPT DELTA OMC. NO VISUAL OR TCAS IND OF ESCORT.