International research is already booming, and global problems like climate change have sparked interdisciplinary initiatives involving academics from many nations, disciplines, and tongues. Integrating the research team, the supervisors, and the doctoral students present several challenges, such as multicultural issues; integrating a good team depends on the supervision style and type of postgraduate students and how to supervise students to conduct quality research. This article examines supervisory approaches, and the challenges and rewards supervisors face while supervising diverse projects. The lectures from the Graduate Studies in Supervision course were examined, along with a literature study. Two senior supervisors from the International Business School (JIBS) and the School of Engineering at Jönköping University participated in small-scale research and observed two supervisory sessions, where were discussions and supervisor reflections. Observations, talks, and the findings of a survey based on Lee's research were compared to determine the supervisory style. The failure to define the scope and writing of the publication when a journal article is rejected after 1-2 years, which affects the trust of the student and the supervisor and the time plan in a multidisciplinary project, are just a few of the challenges that emerged during postgraduate supervision. Discovering our teaching and supervision style may help guide our students in a multidisciplinary environment.