This study is a review (content analysis of the literature) supplemented with actual indications and a proposal for a project that can be implemented by researchers representing universities from several countries. The aim is to show how universal design and broadly understood accessibility relate to the idea of intercultural education, or how they rather stem from it. Additionally, it will be important to develop these ideas within the thinking about the changing university – open and accessible to everyone as much as possible. Due attention will be drawn here to important issues from the point of view of the priorities and prospects of the European Union’s policy, also because of the obvious need to change the social reality towards the frequently mentioned inclusion. The ending will comprise the guidelines and recommendations for those designing future activities, those implementing ready-made solutions, as well as for theoreticians who try to organize their knowledge in this area.