In this paper, we introduce an ongoing project for the development of a parallel treebank for Italian, English and French. The treebank is annotated in a dependency format, namely the one designed in the Turin University Treebank (TUT), hence the choice to call such new resource Par(allel)TUT. The project aims at creating a resource which can be useful in particular for translation research. Therefore, beyond constantly enriching the treebank with new and heterogeneous data, so as to build a dynamic and balanced multilingual treebank, the current stage of the project is devoted to the design of a tool for the alignment of data, which takes into account syntactic knowledge as annotated in this kind of resource. The paper focuses in particular on the study of translational divergences and their implications for the development of the alignment tool. The paper provides an overview of the treebank, with its current content and the peculiarities of the annotation format, the description of the classes of translational divergences which could be encountered in the treebank, together with a proposal for their alignment.