The obligation to enrol a child in compulsory educational attendance applies only to the legal representative whose child has permanent residence in the Slovak Republic. If a child has temporary residence or tolerated stay in the Slovak Republic, the law does not require the child to attend elementary school.
https://www.slovensko.sk/sk/zivotne-situacie/zivotna-situacia/_ako-prihlasit-dieta-cudzincov

The University of Žilina runs its own university kindergarten. The kindergarten focuses on the natural sciences, technology, and physical activity. It provides high-quality and slightly unconventional pre-school education not only for the children of employees and students, but also for the general public. Children can visit the university’s academic and outreach facilities, thus developing a positive attitude toward science and technology and learning through discovery.
Through our unique STEAM educational concept, research-oriented activities, and simple experiments, we foster children’s creativity and communication within the group, as well as their development in language, polytechnics, physical activity, and the arts.
https://materskaskola.uniza.sk/