In this article, differing interpretations of the internationalisation of higher education curriculum are explored analysing the structural and cultural aspects of the curriculum. Voices of tertiary staff from around the world taking part in a four-week, fully online course, entitled "Internationalising the curriculum for all students" contributed to stimulating discussions that raised many questions about whose perspectives were being privileged in defining an internationalised curriculum and what constituted a transformed curriculum. In this analysis, the framework illuminates the varied theoretical and practical stances towards an internationalised curriculum. It highlights that indigenous knowledges and the positionings of marginal and diaspora peoples have been widely overlooked in internationalisation of curriculum practices, and these perspectives need to become integral to discussions of future tertiary education policies and curricula.