Higher education institutions (HEIs) must ensure that their graduates possess not only professional know-how, but also the global competence to address the challenges posed in the UN’s 2030 Agenda. This is especially relevant in engineering education, which plays an important role in sustainable development. These competencies are typically thought to be developed in relation to institutions’ internationalisation efforts, but reports on how this is supposed to happen are often vague or built on wishful thinking. In this article, we describe a mixed-methods investigation into how holistic global competence development as a crucial aspect of sustainable education can be systematically enhanced in higher engineering education. Following a design-based research approach, connecting theoretical and practical insights from experts and stakeholders, we present here four dimensions of such an approach. Firstly, we discuss the setup, contents, and implementation of institutional guidelines as the crucial starting point of any internationalisation strategy aiming at integrating sustainable development education and global competence development. Secondly, we stress the role of institutional diversity, and show how institutions can foster inclusive and welcoming environments. Thirdly, we suggest strategies and approaches for global competence training for students, faculty, and staff, and highlight important background considerations for enabling global competence development. Fourthly, we emphasise the importance of assessing efforts to ensure that they live up to their potential and deliver the desired outcomes. The recommendations based on the investigation summarise key considerations that all HEIs—not just those focused on engineering education—must take into account as they strive for holistic global competence development, which is a key aspect of education for sustainable development.