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In this paper, we propose a model-driven approach (MDA) for developing workflow applications from existing grid services. We focus on how to model and compose workflow applications of grid services without considering lower level description of the grid environment. The workflows are built on an abstract level using UML activity diagram language with semantic and syntactic descriptions of services available on the grid. Also, we define a Domain Specific Language using the extension of the UML activity diagram notation. This extension deals with additional information allowing an automatic composition of workflows and containing appropriate data to describe a grid service. These data are useful for the execution of the resulting.