As Communicator mentioned above, I have come across this issue in fleet vehicles where different drivers were frequently breaking the expensive keys the workshop managers would secure the chip which deactivates the immobiliser to the antenae ring permanently and move it to a "safe" place, then they could just have a cheap plain key cut.
In your case if you have been driving the vehicle with no problem up until now then I would assume the chip has only just become lost/dropped out. So I would do a very intense search for the chip which is a black and about only 10mm long roughly, if you can find it , that will save you a lot of time and money!!!
Apart from that remove the cowling around the ignition lock and confirm whether or not the antaenae ring is in it's correct position or has been moved, this will help in your attempt to locate the chip.
If you are lucky enough to find the chip, go to a locksmith and get two good quality keys made with chips so both will start the vehicle and put one in a safe place.
In my case it was in a Iveco Daily Crew cab pickup with the 2.8 Sofim engine as used by the older Ducato, it had a Bosch MS6.9 ECU I think, at the time both local dealers wanted over a £1000 to fix the problem after I had towed the vehicle 30 miles to them!
I was able to locate an ECU repairer who was able to disable the immobiliser side of the ECU for £137 including postage I seem to recall, obviously given the value of your vehicle you may not want to go that route. It also involved disconnecting the antenae ring plug and the Immobiliser ECU which talks to the the engine ECU before reassembly.
The Main Dealers said they had to talk to Italy Fiat with all vehicle details to reprogram the ECU etc. at the time which could take several weeks.
So what ever route you choose to go , firstly have a very good search for the original chip!!! Sorry, this is what you are looking for I think

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