Small screen appliances, such as cellular phones or Personal Digital Assistants (PDAs), enjoy enormous popularity as is evidenced by the tremendous commercial success. One focus of the ubiquitous research community is the potential utility of this class of devices beyond that of a basic organizer or communication device. The pocket-sized requirement imposes constraints upon the computational power and user interface of these small screen devices. This paper describes the Composite Device Computing Environment (CDCE) that offers a framework for supporting nomadic users with small screen devices for the retrieval of rich contents and the access of diverse services. CDCE provides a communication network infrastructure for seeking, unifying and exploiting any surrounding devices as a means to overcome the small screen client constraints. This paper describes the architecture and reports the current status of the ongoing realization of CDCE.