Eevee and the seven Eeveelutions belong to a character that will participate in the Unova League. I still think that Eevee may end up going to Ash after the league. After all, why does a trainer that uses all the (current) Eeveelutions need an Eevee?
I guess that Eevee could end up like the Meowth in booths from the Hoenn League. That is, it might end up being glorified as being equally powerful as its evolutions are, with Pikachu possibly losing to it. But it wouldn't be right to do that seeing as Eevee is too strongly associated with evolution. Besides, this is a normal-looking Eevee; it is hard to imagine it being a powerhouse even in the anime.
I guess that Eevee could end up like the Meowth in booths from the Hoenn League. That is, it might end up being glorified as being equally powerful as its evolutions are, with Pikachu possibly losing to it. But it wouldn't be right to do that seeing as Eevee is too strongly associated with evolution. Besides, this is a normal-looking Eevee; it is hard to imagine it being a powerhouse even in the anime.