This study describes the English collocational use of non-native university teachers from two different disciplines lecturing in an English- medium instruction context at the University of Copenhagen (UCPH). The primary focus is on how we addressed the research challenges involved in identifying and classifying collocations used by L2 speakers in advanced, domain-specific oral academic discourse. The main findings seem to suggest that to map an informant’s complete collocational use and to get an understanding of disciplinary differences, we need to not only take account of general, academic and domain-specific collocations but also need to cover the full range of both lexical and grammatical collocations.