Non-isolated EV chargers have gained attention as a promising solution due to their higher efficiency, improved power density, and compact size. However, the absence of transformer isolation presents the critical challenge of eliminating common-mode (CM) or leakage current to ensure user safety. This article introduces a new multi-functional, non-isolated EV charger with zero CM voltage which is also compatible with 1-ϕ and 3-ϕ grid. Discrete-time models of the proposed charger are derived and a model predictive control (MPC) framework is proposed for controlling the charger effectively. Also, the simulation and experimental results are presented to verify the operation and performance of the proposed charger and control.