<p>Dreams are not real, so when we recount them we prefix an intensional operator like ‘I dreamed that ...’. Linguists will analyze this construction in terms of clausal complementation syntax and possible worlds semantics. But talking about a dream is often more like telling a story, with a potentially complex discourse structure (involving propositional discourse units connected by coherence relations like <span>Narration</span>, <span>Background</span>, and <span>Explanation</span>) that is hard to fit inside a single syntactically embedded <i>that</i>-clause (or a sequence of independently embedded clauses). I show how we can analyze actual, complex dream report stories using a formal discourse semantics framework. I then explore how to extend this discourse framework to visual dream reporting, like in movies and comics, where it’s not immediately clear that we even have any intensional operators or embeddings to begin with.</p>