What does a cosmopolitan attitude entail? And what are the implications of such an attitude in the context of education? When we compared two different approaches to the concept of cosmopolitanism in relation to education, we found both a critical and hermeneutic interest at work. This directed us to a discussion about what reflexivity means in relation to cosmopolitanism. In this article, we thus argue that reflexivity, in a cosmopolitan sense, requires a capacity for suspension. Suspension helps delay premature closure and makes it possible to be open to unique situations while also re-reading our own cultural narrative.