Abstract: The overall goal of our approach is to relate models of a given domain that are created by different actors and thus are generally heterogeneous that is, described in different DSL (Domain Specific Languages). Instead of building a single global model, we propose to organize the different source models as a network of models which provides a global view of the system through a virtual global model. The matching of these models is done in a shared model of correspondences. We focus in this study on the elaboration of the model of correspondences, through a transformation called “refine”. The approach is illustrated by a representative use case (a Bug Tracking System) and supported by a modeling tool called HMS (Heterogeneous Matching Suite).