The World Wide Web has become a phenomenon that now influences our everyday life in any possible areas and disciplines. This chapter describes a potential roadmap establishing its grid equivalent, a scientific, workflow-oriented, computational World Wide Grid (WWG). In order to achieve such a WWG, this chapter suggests three major steps. First, create uniform meta-brokers and connect existing production grids by them in order to form the WWG infrastructure where existing production grids become interoperable at the level of job submission. Second, create workflow-oriented, advanced grid portals and connect them to the meta-brokers in order to exploit workflow level grid interoperability. Finally, create workflow grid services and their registry and repository in order to make the workflows developed by different workflow communities interoperable and shareable.