In Landau-Ginzburg models, B-type boundary conditions are described by matrix factorisations of the superpotential. In cases where such a model corresponds to a rational conformal field theory (e.g. a coset model), we can compare the matrix factorisations to known boundary states. The connection between these complementary descriptions can on the one hand be used to improve the understanding of closed and open string moduli space, on the other hand it could give hints towards the construction of new boundary states.