 The question of how completeness results (and other model-theoretical properties) can be transferred from a propositional modal logic to its quantificational counterpart, and from a monomodal quantified modal logic to their multimodal combinations by means of fusion, is investigated in Schurz 2011. The paper also deals with the question on how completeness can be transferred from quantified modal logic with rigid designators to the ones with non-rigid designators.