A fuel-injection system for an internal-combustion engine has at least one fuel injector with a fuel-metering servo valve provided with an open/close element, which is movable in response to the action of an electric actuator; and an electronic control unit which issues to the electric actuator two electrical commands, one for carrying out a pilot injection and one for carrying out a main injection; the two electrical commands being separated by an electrical dwell time such that the main injection starts, without solution of continuity with the pilot injection, when an open/close needle for carrying out fuel injections into a cylinder of the internal-combustion engine remains at a lift value in which the fuel flow rate is negligible; in particular, the second electrical command is issued during a rebound of the open/close element on the valve seat.