Database management systems providing powerfull data management services have been developed in the recent decades to a great extent. All these systems are based on its own single data model, whereas the demand for managing multiple data sources with different data models is rapidly expanding. Therefore the need for intelligent management systems providing access to those heterogeneous and often distributed data sources and allowing to search and query them as a single information source, has never been greater. This reseach challenge is faced by the vision of Dataspaces. So far, no effort was devoted to realization of Dataspace concepts on the Grid. In this paper, we propose the architecture of a Dataspace Management System and discuss how some current components of the Grid technology can support the future implementations of such an architecture.