Studying the conformations involved in the dimerization of cadherins is highly relevant to understand the development of tissue and its failure, which is associated with tumors and metastases. Experimental techniques, like X-ray crystallography, can usually report only the most stable conformations, missing minority states that could nonetheless be important for the recognition mechanism. Computer simulations could be a valid complement to the experimental approach. However, standard all-atom protein models in explicit solvent are computationally too demanding to search thoroughly the conformational space of multiple chains composed of several hundreds of amino acids. To reach this goal, we resorted to a coarse-grained model in implicit solvent. The standard problem with this kind of models is to find a realistic potential to describe their interactions. We used coevolutionary information from cadherin alignments, corrected by a statistical potential, to build an interaction potential which is agnostic of the experimental conformations of the protein. Using this model, we explored the conformational space of multi-chain systems and validated the results comparing with experimental data. We identified dimeric conformations that are sequence-specific and that can be useful to rationalize the mechanism of recognition between cadherins.