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The Web services paradigm is considered as a revolution for the Web in which a network of heterogeneous software components interoperates and exchanges a dynamic information. This computing technology can be used potentially to compose new distributed collaborative applications and make easy the development of more complex Web process. In this context, Web services based on peer-to-peer computing require special attention from collaboration and interoperability in a distributed computing environment. The P2P systems provide a decentralized model, which offers a better scalability, reliability, and performance for Web services composition. We present an unstructured P2P strategy for composing semantic Web services. We propose a collaborative workspace between different participants to achieve a specific goal through the composition of Web service. In this strategy, we define two principal concepts: the epidemic discovery algorithms and the composition table. The first one describes a distributed solution to discover semantic Web services in unstructured peer-to-peer networks. The second one is a distributed method to publish and preserve the description and the composition way of the peer-to-peer composed Web services.