This article discusses a new technique to automatically generate test cases for object oriented programs. At the state of the art, the problem of generating adequate sets of complete test cases has not been satisfactorily solved yet. There are various techniques to automatically generate test cases (random testing, search-based testing, etc.) but each one has its own weaknesses. This article proposes an approach that distinctively combines dynamic symbolic execution, search-based testing and machine learning, to efficiently generate thorough class-level test suites. The preliminary data obtained carrying out some experiments confirm that we are going in the right direction.