Vaporeon, Jolteon, Flareon
Evolving an Eevee without meeting any other requirements/prerequisites, will randomly result in either a Vaporeon, Jolteon, or Flareon with a 1/3 chance of either of them.
Espeon, Umbreon
If you keep Eevee as your buddy for 10km, earn at least 2 candy with it whilst it's your buddy, and then evolve it whilst it's your buddy, it will evolve into either:
- Espeon if evolved during the day.
- Umbreon if evolved during the night.
The 10km and 2 candy requirement is counted across all buddy uses of Eevee. You can earn the kilometers and candy, either intermittently or all at once, whilst changing buddies or keeping it the same.
As long as a total of 10km and 2 candy has been earned whilst Eevee has been a buddy, and you evolve it whilst the Eevee is currently set to your buddy. It will override the ability to evolve into Vaporeon/Jolteon/Flareon whilst it's your buddy, but not Leafeon/Glaceon if near the relevant lure.
Day vs night is determined by the game screen in the overworld/map. It's daytime when it is bright, and nighttime when it's dark:
The times when the game screen changes over varies depending on your GPS and time location.
Leafeon, Glaceon
If a Moss or Icy Rock is placed on a Pokestop (can be purchased from the shop for 200 coins, or someone else can place the Rock) and then evolve Eevee whilst in the radius of the Rock, it will evolve into Leafeon (Moss Rock) or Glaceon (Icy Rock).
The silhouette of Leafeon/Glaceon will appear if these requirements are met prior to evolution - if it doesn't, the requirements are not met and it would evolve into Vaporeon/Jolteon/Flareon (or Espeon/Umbreon if their conditions are met).
Syvleon
Earn at least 70 hearts with your Eevee so that it becomes a Great Buddy (also works with Ultra and Best buddy). Afterwards, whilst Eevee your buddy, you are given the option to evolve it into Sylveon. Unlike the other evolution methods, the option to evolve into Sylveon is available simultaneously alongisde Espeon/Umbreon and Leafeon/Glaceon if those conditions are met.
You can also choose a nickname to force a specific evolution, but this only works once per nickname/evolution.