Growing numbers of students from non-Portuguese speaking countries, designated as 'non-Lusophone students', signal the diversification of the international student population in Portugal. Until recently, international students came almost exclusively from other Portuguese-speaking countries. Employing social network analysis, the paper analyses the enrolment patterns of non-Lusophone students in Portuguese higher education -- by institution type, qualification and discipline -- to understand what aspects in particular attract these students. Findings indicate that public universities are mostly attractive for their doctoral degrees, in various disciplines, with students coming from very diverse regions. Public polytechnics enrol few non-Lusophone students, continuing to rely on the traditional Portuguese-speaking public. Private institutions attract Western and Southern European students, to integrated masters in Health programmes. Implications for institutions in other semi-peripheral countries intending to diversify their international students are highlighted: the identification of their strengths, at discipline or degree level, and the target-publics likely to find their programmes appealing.