The appliance (A) for recharging batteries of electric vehicles or the like, comprises: AC/DC conversion means which can be connected at input to an alternate current power supply line (AC IN) and connected at output to a high voltage electric battery (HVB) of an electric vehicle; DC/DC conversion means connected at input to the high voltage electric battery (HVB) and connected at output to a low voltage electric battery (LVB) of the electric vehicle; wherein the AC/DC conversion means and the DC/DC conversion means can be activated alternatively for recharging the high voltage electric battery (HVB) and the low voltage electric battery (LVB), respectively; and wherein the AC/DC conversion means and the DC/DC conversion means comprise a sole and shared DC/DC converter (CNV), having an input which can be connected alternatively to the power supply line (AC IN) and to the high voltage electric battery (HVB) and having a first output connected to the high voltage electric battery (HVB) and a second output connected to the low voltage electric battery (LVB).