This publication has seen the light in 2015, a year which marks a turning point between the end of the Campus of International Excellence (CIE) initiative in Spain and the special celebration of the 500th anniversary of the founding of the University of Granada in 2031. The CIE initiative, involving the development of strategic projects in Spanish universities, marked 2015 as its horizon. Thus, this process of reflecting on the development of universities, on our strategic priorities and the medium term future of higher education in the world commenced. We have invited the top universities in world rankings, international experts in higher education and Spanish universities to participate in this venture. Their contributions encompass the thoughts of diverse representatives of countries and universities who have identified the medium term challenges and priorities for universities and higher education.