This article is describing the problem, which you can have as well, when you are staying in Prague for a longer period of time and you have a small child. State nurseries have different rules of government stipend for Czechs and the others.
Our best guess is that the filtering system so obvious in middle to high school education in Europe gets its start with 3 year old, and that these meetings are designed in part for the director to check out the parents and child and decide if she wants to see them again. It’s a guess only because we didn’t get a chance to hear the regular spiel.
Instead, as we sat down for our meeting, the director said, “Aha, you are the foreigners who visited us during open house. I’m so sorry to tell you but because you are not EU citizens, your daughter probably cannot go to this school.“