In an arrangement for handling the fuel in a common rail fuel injection system of an internal combustion engine, wherein fuel is supplied from a tank via a fuel delivery line including a first fuel filter, a low-pressure pump arranged upstream from the first fuel filter and a high pressure pump arranged downstream of the first fuel filter to a high pressure fuel rail from which the fuel is distributed to the cylinder of the engine, a bypass line extends from the high pressure fuel rail to the fuel delivery line and includes a second fuel filter and a heat exchanger which is operatively connected to a cooling circuit of an air conditioning system or to a cooling circuit of the internal combustion engine.