In this paper, the energy harvesting (EH) technique is investigated by designing transceivers for a K link multiple-input multiple-output (MIMO) interference channel. Each link consists of two full-duplex (FD) nodes exchanging information simultaneously in a bi-directional communication technique. All the nodes suffer interference, such as strong self-interference because of operating the FD mode and inter-user interference from other links due to simultaneous transmission at each link. The received signal at each node is divided into two parts - one for information decoding and the other for EH. By minimizing the total transmission power of the system subjected to both signal-to-interference-plus-noise ratio (SINR) and EH threshold constraints, the transmit and receive beamforming vectors and receive power splitting (PS) ratios are jointly designed. Furthermore, the case of multiple-input single-output (MISO) interference channel is also included for the sake of comparison. Simulation results show that FD MIMO systems work efficiently and the EH technique can support power consumption limited devices with a certain guaranteed transmission quality.