The author's purpose is to show the perspective of European school in conditions of cultural differentiation, intensifying also under influence of globalization and European integration. As a result of these processes, both in the school surroundings and in its community, the Others and Foreigns are better and better perceptible. The author presumes, that the situation, in which their subjective differentness makes controversy, leads to many problems. It makes difficult or even impossible to realize some school functions. According to this, individuals, who are engaged in education knowingly, or only are related to it because of being in the school environment, should be trained in special competence - intercultural competence. Internal cultural differentiation of school and its environment demands preparation of students, school staff, parents and others to apply the attitude based on intercultural competence in all fields of reality. Important are not only matters connected with the language, national or ethnic identity. Important is the universal competence, tha way of treatment of Others\Foreigns, and also coping with own differentness. The author gives examples of institutional enterprises, which help in shaping intercultural competence. According to him, in reference to European integration and problems of cultural differentiation of school systems, the most remarkable are international and local initiatives, receiving support from governments. They could be implemented after the necessary changes of educational system.