Traditional GSS workflow leverages the abilities of an expert facilitator to lead groups through the convergence activities. This dependence on a facilitator creates a bottleneck that is difficult to resolve in asynchronous and distributed groups. This paper presents a new framework, participant-driven convergence, which enables the participants to perform the convergence work in parallel. The goal of this approach is to enable each participant to work in parallel and anonymously to drive the group toward some level of convergence consensus.