One of the objectives of university education should be to develop critical thinking in students in order to access knowledge. This kind of thinking is reached by increasing in them their ability in critical reading, comprehension and reflection to question ideas and facts, discovering intensions and ideologies and adopting points of view, meaning, to build specific knowledge proper disciplinary scientific community. This paper consists on the study and theoretical reflection on critical reading in the university context. It is proposed to examine, from a socio-cultural perspective, the meaning of critical reading today and how its development should be oriented in university students. It starts from the conceptualization of critical comprehension and explains what the competences to reach its progress are. In the end, we outline a didactical proposal of the actions and strategies teachers should promote to mediate experiences that allow university students to continue their education as critical readers.