One of the goals of higher professional education is to develop generic student competencies across a variety of disciplines that play a crucial role in education and that provide wider opportunities for graduates in finding good jobs and more chance of promotion. In this article a list of generic competencies developed in Russian universities is compared with a similar list developed by a consortium of Russian and European universities (project TUNING-RUSSIA). Then there is a second comparison with a list of competencies taken from the CDIO Syllabus. This comparison indicates the degree of similarity among the lists and the possible convergence among universities all over the world. The results are taken from a survey carried out among Russian employers, academics, and graduates. The survey asked to rate each listed competence by its importance and the degree of achieving goals in the process of the education.