The discourse manager is the component of the TRIPS-98 system that maintains a list of candidate antecedents to be used for resolving anaphoric referring expressions. The model currently implemented in the system is a monologue-based model of context that has a variety of limitations. This paper discusses changes to the underlying model to make it handle a much broader range of referring expressions. Some of these changes have already been implemented in the system and some are the subject of a long-term project