CMMI has been adopted advantageously in large companies for improvements in software quality, budget fulfilling, and customer satisfaction. However SPI strategies based on CMMI-DEV require heavy software development processes and large investments in terms of cost and time that medium/small companies do not deal with. The so-called light software development processes, such as Agile Software Development (ASD), deal with these challenges. ASD welcomes changing requirements and stresses the importance of adaptive planning, simplicity and continuous delivery of valuable software by short time-framed iterations. ASD is becoming convenient in a more and more global, and changing software market. It would be greatly useful to be able to introduce agile methods such as Scrum in compliance with CMMI process model. This paper intends to increase the understanding of the relationship between ASD and CMMI-DEV reporting empirical results that confirm theoretical comparisons between ASD practices and CMMI level2.