So, I'm gonna do this.
I choose Poochyena, and eventually found Jolteon, Vaporeon and Umbreon. I friended Jolteon but missed the opportunity for the other two.
There's a new maze 'course', which is much bigger than the previous three. You can't refresh with a bottle of water - instead, it appears to use the black metal beans given to you by the various legendary Pokemon you've met. Additionally, you are graded on how far you get into the maze, possibly in meters. There appear to be people in the maze, who possibly refresh your Pokemon in exchange for a bean. You also have the option of not using a stone, and just letting the Pokemon you met go.
I'm not sure if you can redo this course after your Pokemon faints, because I can't reselect the maze course. Maybe once you get more beans/Pokemon you can?
EDIT: I friended Espeon and have it on my 'team', so it appears you aren't just limited to one Eeveelution.
There also appears to be a ranking system of some sort.