Identical domain concepts reified in different (meta)modelling projects may be named, represented and connected differently. It turns out that a transformation defined for a particular metamodel cannot be directly used for another metamodel; that is, the reuse of transformations is restricted. To tackle this problem, in this dissertation, we propose a solution for automatically migrating legacy transformations. Such a transformation is adapted to the new metamodel that has a slightly different representation in comparison with the original one, while preserving the original semantics of the transformation. To this end, we first introduce MetaModMap, a Domain Specific Language that allows the description of the correspondences of intended semantics between the elements of two metamodels that model the same domain. Then we provide a rewriting mechanism using these user-defined correspondences to migrate the transformation automatically. The proposed solution uses a graph-based model typing relation that enables safe adaptations. Our approach has been prototyped with MOMENT2 and can be used with any framework based on the same graph transformation paradigm.