This article addresses the issue of intersectoriality and shows the polysemic nature of the topic. It reveals that there is still a lack of theories to confirm its status as a research and evaluation category. The suggestion is that each of the possible directions for an intersectorial approach will be answering different questions thereby fostering the creation of a "database of questions" for the research presented in this article. This article provides the context for intersectorial debate; it makes approximations of the theme; it indicates which aspects are still uncharted; and, inspired by the plurality of the word "intersectorialitieS", it highlights the need to build a research agenda that favors a theoretical framework for intersectorial action, not merely as an experiment in public management but as praxis for government action. Twenty-three research questions are presented that open up the possibility of outlining a research agenda on intersectoriality and expand the theoretical and evaluative framework yet to be developed.