A fuel injection system for an internal combustion engine, comprising: at least one fuel electroinjector; and one electronic control unit designed to supply the fuel electroinjector, in a fuel injection phase in an engine cylinder, with at least a first electrical command to perform a pilot fuel injection, and a second electrical command to perform a main fuel injection. The first and second electrical commands are separated in time by an electrical dwell time such that the main fuel injection starts without interruption with respect to the pilot fuel injection. The electrical dwell time between the first and second electrical commands belongs to an electrical dwell time range in which the total fuel amount injected in the pilot and main fuel injections in a fuel injection phase in an engine cylinder is substantially constant.