One of the objectives of software engineering education is to make students to learn essential teamwork skills. This is done by having the students work in groups for course assignments. Student team composition plays a vital role in this, as it significantly affects learning outcomes, what is learned, and how. The study presented in this paper aims to better understand the student team composition in software engineering education and investigate the factors affecting it in the international software engineering education context. Those factors should be taken into consideration by software engineering teachers when they design group work assignments in their courses. In this paper, the initial findings of the ongoing Action research study are presented. The results give some identified principles that should be considered when designing student team composition in software engineering courses.