The paper presents a traineeship stage, organized annually in Europe, in which teachers, psychologists, parents can ”mediate” the shaping of a key competence at European level, considered to be a sine qua non condition of the adaption to and integration in the current society: the ”learning to learn” competence. The theory of mediated learning offers opportunities to the people with hereditary and medical problems (autism, brain attacks, the Down syndrome) and challenges to those who wish to enhance their potential.