Method for controlling an internal combustion engine supercharged by means of a turbocharger provided with a turbine and a compressor; the control method comprises the steps of: - establishing a predetermined lower limit speed of the turbocharger and a predetermined higher limit speed of the turbocharger; - calculating a reduced lower limit speed (N rid_inf) of the turbocharger according to the predetermined lower limit speed of the turbocharger and to the absolute temperature (T o) upstream of the compressor; and - calculating a reduced higher limit speed (N rid_sup) of the turbocharger according to the predetermined higher limit speed of the turbocharger and to the absolute temperature (T o) upstream of the compressor; the reduced higher limit speed (N rid_sup) of the turbocharger being higher than the reduced lower limit speed (N rid_inf) of the turbocharger; - determining an overspeed interval of the turbocharger comprised between the reduced lower limit speed (N rid_inf) and the reduced higher limit speed (N rid_sup) of the turbocharger; - calculating a current reduced speed; and - bringing the reduced limit speed back to a value lower than or equal to the reduced lower limit speed (N rid_inf), every time the current reduced speed is comprised within the overspeed interval, by inhibiting the operation of the turbocharger within the overspeed region; the control method is characterised in that it comprises the further steps of: - establishing, in a preliminary adjustment and set up phase, a first threshold value (S OV_1); and - when said first threshold value (S OV_1) has elapsed from the moment in which a value of the current reduced speed is comprised within the overspeed interval, bringing the reduced limit speed back to a value lower than or equal to the reduced lower limit speed (N rid_inf) by inhibiting the operation of the turbocharger within the overspeed region. - establishing a predetermined lower limit speed of the turbocharger and a predetermined higher limit speed of the turbocharger; - calculating a reduced lower limit speed (N rid_inf) of the turbocharger according to the predetermined lower limit speed of the turbocharger and to the absolute temperature (T o) upstream of the compressor; and - calculating a reduced higher limit speed (N rid_sup) of the turbocharger according to the predetermined higher limit speed of the turbocharger and to the absolute temperature (T o) upstream of the compressor; the reduced higher limit speed (N rid_sup) of the turbocharger being higher than the reduced lower limit speed (N rid_inf) of the turbocharger; - determining an overspeed interval of the turbocharger comprised between the reduced lower limit speed (N rid_inf) and the reduced higher limit speed (N rid_sup) of the turbocharger; - calculating a current reduced speed; and - bringing the reduced limit speed back to a value lower than or equal to the reduced lower limit speed (N rid_inf), every time the current reduced speed is comprised within the overspeed interval, by inhibiting the operation of the turbocharger within the overspeed region; - establishing, in a preliminary adjustment and set up phase, a first threshold value (S OV_1); and - when said first threshold value (S OV_1) has elapsed from the moment in which a value of the current reduced speed is comprised within the overspeed interval, bringing the reduced limit speed back to a value lower than or equal to the reduced lower limit speed (N rid_inf) by inhibiting the operation of the turbocharger within the overspeed region.