The injection system comprises a high-pressure pump (7) with variable flowrate, having a number of pumping elements (18) actuated with reciprocating motion and provided each with a corresponding intake valve (22). An accumulation volume (28) is supplied with fuel at low pressure from an intake pipe (10) of the pump (7) through a solenoid valve (31) controlled as a function of the operating conditions of the engine (2). The accumulation volume (28) is in communication with the intake valves (22) through corresponding outlet holes (29), and the solenoid valve (31) is provided with nebulizer holes (36) such as to generate corresponding jets of fuel, each directed towards at least one of said outlet holes (29).