The article deals with the issue of practice as the basic format of training preschool teachers at the university. Certain issues are brought to the spot such as contradictions between changing cultural, economic, and social environment and traditional, to large extent old-fashioned, regulations in university professional training, the readiness of employers to host and participate in the management of practice activities, the willingness of the teaching staff to mentoring collaboration, the expectation of trainees. The necessity to renovate the system of training is vividly highlighted by the results of the survey held among all the participants of practice. Through the reflexive model of pedagogical practice as an element of the curriculum for training a preschool teacher at a university, we analyze the changes to be introduced in target, technological, content, methodological, and efficiency components.