It is difficult to construct correct models for distributed large-scale service-oriented applications. Typically, the behavior of such applications emerge from interaction and collaboration of multiple components/services. On the other hand, each component, in general, takes part in multiple scenarios. Consequently, not only components, but also their interaction protocols are important in the development process for distributed systems. Coordination models and languages, like Reo, offer powerful ``glue-code'' that encode the interaction protocols. In this work we propose a novel synthesis technique, which can be used to generate Reo circuits directly from scenario specifications. Inspired by the way UML2.0 sequence diagrams can be algebraically composed, we define an algebraic framework for merging connectors generated from partial specifications by exploiting the algebraic structure of UML sequence diagrams.