  We study the relation between violation of Bell inequalities and
distillability properties of quantum states. Recently, D\"ur has shown that
there are some multiparticle bound entangled states, non-separable and
non-distillable, that violate a Bell inequality. We prove that for all the
states violating this inequality there exist at least one splitting of the
parties into two groups such that some pure-state entanglement can be
distilled, obtaining a connection between Bell inequalities and bipartite
distillable entanglement.
