In this paper, free convective Magnetohydrodynamics (MHD) flow of a viscous incompressible and electrically conducting fluid past a hot vertical porous plate embedded in a porous medium has been studied. The temperature of the plate varies both in space and time. The main objective of this paper is to study the effect of porosity of the medium coupled with the variation of plate temperature with regards to space and time. The effect of pertinent parameters characterizing the flow has been presented through the graph. The most interesting finding is that presence of porous media has no significant contribution to the flow characteristics. Further, heating and cooling of the plate due to convective current is compensated by the viscous dissipation. Keywords?MHD flow/Span wise Co-sinusoidal/Free Convection /Heat transfer, porous medium