Based on the template: you can choose templates from the remaining ones in the list for both players, for example, in the first game, both players can choose from 16 templates.
Okay, let's say I've played 7 games, and I have 1 template left, but my opponent, with whom I've agreed on a time, has already played that template! This situation is not the most common, but it is quite possible and in a wider range! Of course, you can also resolve this situation, but why go through all the trouble if you can choose from the full list!