Purpose ‐ The paper's purpose is to present an introduction to the special issue is that positions and explores some of issues and challenges in the field of graduate entrepreneurship. Design/methodology/approach ‐ The paper examines a range of issues and themes and introduces papers of six authors/author teams. The introductory paper is divided into three sections: what is graduate entrepreneurship; entrepreneurial intentions; and education and training. Findings ‐ The paper finds that, despite increasing attention on graduate entrepreneurship, there remains a lack of research on entrepreneurial intentions and enterprise/entrepreneurship education and training in varied and multiple contexts. This special issue includes research from a number of countries, including England, Ireland, Australia and the USA. Originality/value ‐ The paper provides the basis for a more nuanced understanding of entrepreneurial intentions and related education and training ‐ of interest to both researchers and policy makers in terms of the journey from student to start-up.