In an embodiment, a processor includes a graphics domain including a graphics engines each having at least one execution unit. The graphics domain is to schedule a touch application offloaded from a core domain to at least one of the plurality of graphics engines. The touch application is to execute responsive to an update to a doorbell location in a system memory coupled to the processor, where the doorbell location is written responsive to a user input to the touch input device. Other embodiments are described and claimed.