This paper focuses on the issue of premissary relevance as a challenge faced in health promotion interventions. To promote attitude change and influence health behavior, it is crucial that we use premises that are relevant on an individual level. Relevance in argumentation refers both to the fact that the premises should relate to the standpoint at issue, as well as the interlocutors' acceptance of these premises. We claim that autonomous argumentation systems hold the promise to enable proper argumentative exchanges that capture and address what matters to individuals. To do so, however, there is a need to consider and operationalize theories of argumentation that enable a reconstruction of the different stages of argumentation. The theory of argumentation known as pragma-dialectics can offer a promising basis for the architecture of autonomous health promotion advisors.