The project aims at theoretical and corpus-based representation of global coherence in Czech written texts. Global coherence assumes a hierarchical representation of smaller (clauses, sentences) and larger text units (e.g. paragraphs) and existence of coherence relations between these units on all levels of the hierarchy. A single interconnected representation for the entire document is postulated, too. As a first step, up-to-date linguistic frameworks for global coherence analysis are critically evaluated. We benefit from our own long-term experience with describing various linguistic aspects of local coherence. Next, we will design a suitable scenario for representing global coherence with corpus methods and conduct a pilot annotation. The project combines and expands both the line of development of research on discourse and coherence at ÚFAL and recent advances in international discourse-oriented community.