This paper analyses the patterns of international student enrolments in Portugal to understand what makes Portuguese higher education attractive. Employing a database of enrolments in Portuguese higher education institutions in 2017/2018, it uses correspondence analysis to characterise the flows of students coming from different countries and the variation by institution type, qualification level, disciplinary area and location. Attractiveness is not homogeneous. Portuguese-speaking students from Africa tend to enrol in undergraduate degrees, but depending on country of origin they prefer certain institution types. European students are attracted to Health-related programmes in private institutions. Chinese and Brazilian students seek primarily postgraduate qualifications in public universities. Thus, different publics choose Portuguese higher education for different reasons, suggesting that attractiveness is multifaceted and varies by students' country of origin. The implications are that institutions in countries which are emerging players in international student recruitment need to carefully identify their target publics and distinctive assets.