The problem of coupled heat transfer by natural convection between two fluid-saturated porous media at different temperatures separated by a vertical conductive wall is investigated both analytically and numerically, taking account of the two-dimensional thermal conduction in the separating wall. The main parameters of the problem are epsilon, the ratio of thickness to height of the wall, which is small in our analysis, and a, a measure of the ratio of the thermal resistance of one of the boundary layers to the thermal resistance of the wall. Asymptotic solutions are obtained for large and small values of alpha and alpha/epsilon(2) and compared with numerical solutions obtained for finite values of these parameters.