Introduction. Internationalization constitutes an important dimension of the higher education system. It is accompanied by an increase in the level of availability of international exchange programmes and recognition of study periods abroad. The Higher Education institutions, within their internationalization strategies, pay heavy attention to: creating the offer of partner institutions with high-quality teaching and diverse teaching methods. The research revealed that these factors are important, but are not crucial, to academic youth, while making decisions about international educational mobility. Aim. The aim of the research was to explore the university students’ approach toward the chosen phenomena of quality of HE institutions in the context of potential opportunities and challenges. Research concerned problems with the differences between students qualified to educational mobility and those not considering it. Materials and methods. The research was conducted in 2017/18 and 2018/2019 at the Faculty of Educational Studies of Adam Mickiewicz University, Poznań, among the female students recruited to the Erasmus+ programme (N=50) and those not taking part in the programme (N=64). The survey method was used. The collected data were statistically analysed using descriptive statistics, frequency analysis, and significance difference tests (Mann-Whitney U-test). Results. The vast majority of respondents considered: offers of HE institutions (96,5%) interesting, their high education quality (92,1%) and new teaching methods (98,2%) in the category of advantages of the involvement in the Erasmus+ programme. Simultaneously, the majority of students not taking part in the programme (in contrast to the minority of students recruited to it) consider those three analyzed aspects of HE institutions offers in the category of the essential threat associated with the foreign mobility.