Parents’ level of education still greatly influences that of their children: individuals are 4.5 times more likely to attend higher education if one of their parents has a higher education degree than if both their parents have below upper secondary education. Inequalities in higher education reflect to a great extent what happened earlier in an educational career. Upper secondary students from disadvantaged backgrounds are less likely to perform well in PISA assessments, less likely to complete upper secondary education and less likely even to aspire to attend higher education. Nevertheless, higher education institutions still have an important role to play in reducing inequalities. Policies must aim to make higher education more accessible for students from disadvantaged backgrounds as well as to support these students and improve their success at this level.