The Web of Things paradigm brings the available and strongly-supported Web standards closer to the development of applications for heterogeneous environment of smart things regardless of their native operating systems, linking physical and cyber world. Considering the Web of Things architecture, we propose a framework that allows users and communities to create composite services sensitive to context in the domain of building automation. This is meaningful as the capability of automatic responses to context changes is critical to the successful functioning of a building automation system. A case study of VisitorReception composite service illustrates the validation of the framework.