Entrepreneurial activity and self-employment is considered a major motor of economic development. Intention is the individual's will to get involved into a specific behavior. Intentions are good predictors of actual behaviors according to the literature. Entrepreneurial intention is one's will to get involved into entrepreneurial activity and is considered a potential predictor of entrepreneurial startup. However, the constraints and barriers to entrepreneurship, act against one's intention, making the realization of the intentions into entrepreneurial action, difficult or even impossible. The engagement into entrepreneurial activity is constrained by the barriers faced by the entrepreneur during the startup or the development of the firm, as well as, perceived barriers faced by the prospective entrepreneur. Much light was shed upon the factors affecting entrepreneurial intentions and theories have been proposed. However, there is a lack of a systematic investigation in the area of barriers to entrepreneurship and how they affect entrepreneurial intentions. In this article, the barriers to entrepreneurship recorded in the literature are presented, along with some early insights of their impact on the entrepreneurial intention of university students in Greece