While the role of intentions in the constitution of actions gives rise to complex and heavily controversial questions, it appears to be indisputable that action ascription in interaction mostly does without any overt ascription of intention. Yet, sometimes participants explicitly ascribe intentions to their interlocutors in order to make sense of their prior actions. The chapter examines intention ascriptions in response to a partner’s adjacent prior turn using the German modal verb construction willst du/wollen Sie (do you want). The analysis focuses on the aspect of the prior action the intention ascription addresses (action type, projected next action, motive etc.), the action the intention ascription performs itself, and the next action they make relevant from the prior speaker. It was found that intention ascriptions are used to clarify and intersubjectively ground the meaning of the prior turn, which seems otherwise underspecified, ambiguous or puzzling. Yet, they are also used to adumbrate criticism, e.g., that the prior turn projects a course of future actions which is considered to be inadequate, or to expose a concealed, problematic allegedly “real” meaning of the prior turn.