The rapidly changing economic, financial and social conditions require new knowledge and competences in order to be able to understand them, adapt to the new requirements and remain competitive and successful in the globalised social environment. Widening the access to lifelong learning is one way in which this could be achieved. A special role in this process is given to universities as promoters of lifelong learning. E-learning is a means of promoting the changes in academic studies and providing an opportunity to integrate non-formal and informal learning elements into formal education. Individualisation, learning opportunities flexible in time, as well as the e-environment can facilitate the development of students' competences. This article presents a study conducted during the implementation of an inter-university master's programme, "Educational Treatment of Diversity" (in Spain, Latvia, Germany and the Czech Republic) in 2008-10. The research question was: which challenges for widening of opportunities were secured in e-learning in order to promote students' generic competences as a learning outcome? (Contains 3 tables.)