During the current period of economic crisis, it is the time more than ever for Europe to build up by itself. In this context, human mobility between different EU countries becomes a strategic goal. In this paper, we will discuss about student mobility from different points of view (geographical, social and cultural) and propose solutions to improve student mobility in the field of computer science. Some preliminary results about concrete case studies concerning French-German double degree programs at the ISFATES-DFHI institute are presented.