Wrong fuel pump!
There is the injector pump which runs from the cam belt and pumps high pressure diesel into the common fuel rail, thats the one your thinking of...not that!
There is the fuel pump in the fuel tank which is electric and pumps fuel from the tank via the filter to the injector pump, the relay is a switching device in which a small current from ( I guess ) the ignition, switches a heavy current from the battery via a fuse through the fuel pump motor.
It is probably the relay, you can get one from the scrap yard from most fiats for £1.
Easy peasy, find the relay and pull it off with your fingers, no tools needed, reverse process to replace.