Abstract-Deadline-driven bulk data transfers frequently occur in overlay networks running data-intensive, distributed workflow applications, such as grid and cloud environments. What distinguishes such transfers from other Internet traffic is that overlay nodes should cooperate towards the common goal of delivering all inter-dependent data timely, rather than follow individual, selfish goals. For such scenarios, we propose scheduling transfers in overlays in a globally optimal manner with respect to minimizing overall network congestion. Our optimization jointly addresses routing of transfers within the overlay and the time-domain scheduling of transfer bandwidths. We formally define and address the associated problem, the Bulk Data Routing and Transfer(BDRT) and present a linear programming-based solution to it, optimal in both routing and time domains. We additionally explore alternative approaches based on heuristic routing strategies, both oblivious and time-domain optimized. We evaluate these solutions via both PlanetLab trace-driven simulations and Internet transfer experiments, on the Intrigger wide-area grid and PlanetLab. Evaluation shows that our approach finds optimal solutions, based on estimations of job arrival times, deadlines and transfer volumes.