The purpose - to discuss higher education as beacons of epistemological transdisciplinarity, contributing with methodological developments in the domains of their concern, to address problems of practical and ecological significance in today’s societies. Most significantly discuss relationships of decolonisation. Design/methodology/approach - Discussion of higher education relationships with external institutions, active stakeholders and local communities, review of sustainable development with the wider environment and inclusive justice focused on relationships within the university. Findings-originality - Discussions show that universities should be more than centres for the development of disciplinary knowledge; they should be beacons of epistemological transdisciplinarity, contributing with methodological developments in the domains of their concern, to address problems of practical and ecological significance in today’s societies. Research limitations - This paper offers conceptual discussion of relationships, however it does not explore in practice higher education processes for the creation of purposes and the necessary changes towards decolonisation. These clarifications require managing reflexive interactions, which were beyond the scope of this research.