Background: As one part of scientific meta-knowledge, students' meta-modelling knowledge should be promoted on different educational levels such as primary school, secondary school and university. This study focuses on the assessment of university students' meta-modelling knowledge using a paper-pencil questionnaire. Purpose: The general purpose of this study was to assess and to describe university students' meta-modelling knowledge. More specifically, it was analysed to what extent the meta-modelling knowledge, as expressed in a questionnaire, depends on the scientific discipline to which university students relate their answer and the concrete model to which they refer while answering. Sample: N = 184 students from one German university voluntarily participated in this study. Design and methods: The questionnaire was developed based on a theoretical framework for model competence and includes constructed response items asking about the purpose of models, ways for testing models and reasons for changing models. Students written answers were first analysed qualitatively based on the theoretical framework to decide whether they expressed advanced understandings or not. Further analyses then were conducted quantitatively. Results: Findings suggest that only few university students possess an advanced meta-modelling knowledge. However, significant more students who relate their answers to the STEM-disciplines expressed advanced understandings than those who referred to social sciences or linguistics/philology. Furthermore, university students who expressed an advanced meta-modelling knowledge referred to rather abstract kinds of models in order to explain their view. Conclusions: The present study supports the assumption that meta-modelling knowledge may be situated and contextualised. Both the scientific discipline and the concrete model to which university students refer seem to be relevant item features influencing university students' expressed meta-modelling knowledge. Implications for assessment and teaching are discussed in the article.