Research on international students' experiences abroad has tended to rely on models of adjustment, integration and/or acculturation to describe their (mis-)encounters with different kinds of people (e.g., co-nationals, locals and other international students). This paper proposes to use the more fluid concepts of "imaginaries" and "hospitality," leaving behind stages and phases of adaption and acculturation, and focusing on the influence of the Structure on their experiences. Based on a discursive pragmatic analysis of interview data with 20 international students at a top Chinese university, the authors review how the students describe the kind of hospitality experienced at this institution and the influence that it has on their (mis-)encounters. Culturalist, differentialist and essentialist imaginaries (static and fixed views of Chineseness) are often used to justify the lack of encounters and the "segregation" and somewhat "positive discrimination" that they experienced. However, the paper shows that, amongst others, the institutional hospitality management for international students leads to closed contexts of encounters and feelings of exclusion. Although the study serves as a case study and cannot be generalized to the many and varied experiences of international students in other universities in China, some recommendations are made to solve, at least in part, misconceptions about what interculturality and hospitality entail in the internationalization of higher education.