A method and control apparatus are disclosed for operating a fuel-metering valve associated to a fuel pump arranged to supply fuel into a fuel rail, the fuel-metering valve having a valve member and an electric actuator arranged to move that member for regulating a fuel flow-rate. The control apparatus includes an electronic control unit connected to the fuel-metering valve and configured to implement a method of control using a target value, a nominal function corrected value to set an adjustable parameter of a control signal for the fuel-metering valve.