This paper is part of the study on the validity, after a decade, of the transversal competences included in the design of the new degrees of the EHEA. It is based on a survey conducted among students, graduates and employers and on depth interviews with four CEOs of head hunters companies involved in the area of administration and management. The main resulting views are: there is a general consensus in considering the evaluation of all transversal competences as the axis of selection processes. Experts agree with considering both the teamwork and the development of international skills as predominant. They also show skepticism about the role of universities in the development of these abilities. Finally, they were particularly receptive to the importance of online learning, not only because of its advantages in terms of accessibility and compatibility with the profession, but also because it includes the development of skills, such as autonomy, the ability to critically analyze information, to organize work and for time management