Spain has reduced its rates of early school leaving since 2000 but was nevertheless one of the three EU Member States having the higher average than 30% in 2009, which is far from the EU average rate (Eurostat, cited in European Commission, 2011) and from the benchmark included in the Europe 2020 strategy (namely, less than 10 % by 2020). Reducing early school leaving is considered to be essential for achieving key objectives in this European official strategy. Therefore, Spanish education system continues to face an important challenge: high rates of educational failure and early school leaving, particularly in lower secondary education. In order to help the student to success, the current Spanish Educational System allows for a wide range of programs and special measures aimed at those students in the compulsory Secondary Education level who have serious difficulties following the mainstream curriculum. The current research, with a descriptive and interpretative focus, is aimed at analysing and describing one of those special measures; the Curriculum Diversification Program (CDP) in a secondary education school from the Region of Murcia.