The disclosed embodiments provide a system for managing multiple sink devices in a computer system. During operation, the system performs a discovery operation to identify one or more sink devices which are coupled to the computer system, wherein the discovery operation determines an interconnection topology between the computer system and the one or more sink devices, and wherein multiple sink devices can be coupled to the computer system through the same connector. Next, the system associates the one or more sink devices with one or more frame buffers which are used to assemble content streams for the one or more sink devices. Finally, the system drives the one or more sink devices through the one or more frame buffers.