Date: 201702
Local time of day: 1201-1800
Location: ZZZ.ARTCC, US
Flight conditions: VMC
Aircraft: A320
Operator: Air Carrier
Operating under: Part 121
Flight plan: IFR
Mission: Passenger
Flight phase: Cruise
Airspace: Class A ZZZ
ATC / advisory: Center ZZZ
Aircraft component: Powerplant Fire/Overheat Warning
Component problem: Malfunctioning
Reporter organization: Air Carrier
Reporter function: Pilot Flying; Captain
Reporter qualification: Flight Crew Air Transport Pilot (ATP)
Second reporter function: First Officer; Pilot Not Flying
Anomaly: Aircraft Equipment Problem Less Severe
Detector: Person Flight Crew
When detected: In-flight
Result: Flight Crew Diverted; Flight Crew Landed As Precaution; Flight Crew Overcame Equipment Problem
Contributing factors: Aircraft
Primary problem: Aircraft

Narrative: During cruise First Officer (FO) noticed that the Number 2 Engine Fire push button light on the overhead panel was illuminated; we had no other indication of a fire; no ECAM; No other lights were illuminated elsewhere which we both thought to be highly unusual. The light was on steady so I called for the QRH engine fire checklist which [the FO] had already gotten ready; then the light went out. It then started to flash randomly off and on. I tested the Number 2 engine fire system and it tested normally.At that point I was thinking we had a failure within the detection system or warning system and told [the FO] I think we should do the 3 way call with dispatch and [maintenance control]. He agreed and so I gave [the FO] the Pilot Flying (PF) duties and I worked on the phone patch to dispatch.  I also sent Maintenance a quick note through ACARS about our situation. It took a few minutes to get the phone patch together; and during that time [the FO] and I both agreed the engine was most likely fine; that we had some kind of detection/warning failure and that a diversion would probably be the best decision and ZZZ was only 50 to 60 miles away.The ARINC phone patch was established and I informed [maintenance control] and dispatch of our issue. After a few minutes [maintenance control] came back with a response that his only guidance he could give us was to follow the QRH. He had nothing to offer other than that. I was reluctant to follow that idea as there was no ECAM; no other lights or warnings; just an errant flashing fire light. I glanced over at who was monitoring the call and I could tell he was also reluctant with that idea but we both knew it was the most conservative approach to the situation.I told [the FO] head for ZZZ. I confirmed with [maintenance control] and dispatch about following the QRH engine fire checklist; I'm sure they could hear my reluctance to their guidance. I was about to tell [the FP] that we should consider running the checklist and shut down the Number 2 engine. I happened to glance down at the center pedestal and noticed the red Number 1 engine 'fire' light on the engine start and ignition panel was now on and pointed it out.  It also flashed on and off a few times. Again; there were no ECAMS; no other lights or warnings. At that point I decided to disregard the [maintenance control] guidance; told [the FO] let's use my emergency authority; disregard both lights and land in ZZZ. I then informed [maintenance control] about the new light; and told them I would use that authority to disregard the [maintenance control] guidance and that we would be leaving both engines running and plan a normal landing. [maintenance control] signed off and dispatch and I finished up with the diversion info such as landing performance; NOTAMS; weather; etc. [my FO] was very proactive and called back to the FAs and informed them of the divert and to close up everything in the back while I finished up with the phone patch. I made an announcement to the passengers informing them of our maintenance issues and our need to divert. I joined back up with [the FO] as we were descending into ZZZ. I set up the [Flight Computer]; glanced through the diversion guide; and [the FO] landed. Although we didn't request emergency fire equipment; it was present during the landing.


Second narrative: [Report narrative contained no additional information.]


Synopsis: The flight crew of an Airbus A320 reported they noticed a Number 2 Eng Fire push button light illuminated on the overhead panel. No other indications of a fire.