Engineering curricula need to integrate global competence learning to ensure that graduates can succeed in globalised labour markets. In this context, this study examines disciplinary engineering courses, focusing on the key characteristics of globally competent educators and teaching approaches in terms of learning environments and course activities from the students' perspective. We conducted focus group discussions with 28 students from different engineering disciplines to learn more about their perceptions and experiences. The results suggest that they felt that integrated global competence learning would require educators to demonstrate open-mindedness, a global mindset, and strong social skills. In addition, global competence teaching approaches were associated with learning environments that were described as engaging, inclusive, and student-centered, and with course activities that were related to real-world situations, included collaborative elements, and were facilitated and supported by the instructor. This study contextualises the idea of global competence in engineering education and provides valuable insights into students' perspectives and experiences with its integration during their studies. It also critically examines students' ideas and suggestions about opportunities for such learning in relation to educational science, and suggests a way forward for global competence in engineering education.