In recent years there is a notable tendency towards reducing the number of power conversion stages in EV charging applications based on Inductive Power Transfer. Matrix converter topology presents itself as an attractive solution due to its known benefits of having the high power density and small volume. In this paper we propose a, Inductive Power Transfer solution for battery chargers based on a three-phase to single-phase matrix converter that ensures stable power flow between the grid and the EV. The proposed solution ensures low THD of grid currents and high PF. Compensation circuit based on the third winding and accompanying resonant circuit that is suitable for this application is presented, as well. The synchronization between the primary and the secondary side does not need any type of wireless communication between the two microcontrollers controlling the system. An experimental setup was built to verify the proposed ideas. A power transfer of 3.6kW was achieved over an air gap of 40mm with an overall efficiency of 95.15% with 3.2% THD of the grid currents and 0.975 PF.