This paper presents preliminary work on building a system able to synthesize concurrently the speech signal and a 3D animation of the speaker's face. This is done by concatenating bimodal diphone units, that is, units that comprise both acoustic and visual information. The latter is acquired using a stereovision technique. The proposed method addresses the problems of asyn- chrony and incoherence inherent in classic approaches to au- diovisual synthesis. Unit selection is based on classic target and join costs from acoustic-only synthesis, which are augmented with a visual join cost. Preliminary results indicate the benefits of the approach, since both the synthesized speech signal and the face animation are of good quality. Planned improvements and enhancements to the system are outlined.