Employability has become a principal aim of universities in Europe and beyond. In this context, internships are a central strategy for the promotion of employability. This qualitative study, conducted in Spain and based on biographical-narrative interviews, focuses on the voices and experiences of 25 non-traditional university graduates, all from the field of social sciences, on employability, internships, and skills. The data collected are analysed based on four categories: training received at the university; the influence of internships on employability; assessment of the internships; and perspectives on skills in demand and mismatches between graduate profiles and labour market demands. Graduates feel the internships has not helped in the transition to the workplace. Graduates have criticised the lack of connection between university and workplace, the short duration of internships, and the insufficient focus on professional and transversal skills. The results also suggest that universities should develop more initiatives to improve internships, working in coordination with employers and other stakeholders.