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Information system (IS) architectures have not paid enough attention to integration in the past because integration was not important to build ISs from scratch. However, with the variety and number of ISs in medium/large organizations increasing, including ERP systems, the need for integration is bigger than ever. Furthermore, most organizations now want to integrate their ISs with those belonging to other organizations. In this paper we propose an extension to our previous proposals for representing IS architectures in order to properly support a large variety of integration scenarios between IS, including intra and inter organizations. In particular we support manual and automatic, synchronous and asynchronous integration. We also present an example to illustrate the proposal with real world IS integration needs.