The T-CGMP inference scheme combines the GMP principles with additional constraints to guide inference in the case where the observation does not match the rule premise. This paper studies its exploitation in the case where several rules are available, in particular considering the case of two rules: it proposes a local variant of T-CGMP and examines its behaviour in this interpolation-like framework, highlighting its specific features, in particular the original uncertain outputs it produces to keep track of shape mismatches. The resulting inference scheme can thus be seen as an intermediary between GMP and interpolation.