The paper introduces a possibility of new research offered by a multi-dimensional annotation of the Prague Dependency Treebank. It focuses on exploitation of the annotation of coreference for the annotation of discourse relations expressed by multiword expressions. It tries to find which as-pect interlinks these linguistic areas and how we can use this interplay in automatic searching for Czech expressions like despite this (navzdory tomu), because of this fact (díky této skutečnosti) functioning as multiword discourse markers. 1