Pokémon transferred from the Pokémon Dream Radar are inside Dream Balls.
In the Entree Forest, whenever the player interacts with a Pokémon, a special wild encounter begins in which the player can catch the Pokémon without battling it. During this encounter, a single Dream Ball appears in the player's Bag, in addition to their regular Poké Balls; if the player does not use the Dream Ball, it vanishes after the encounter. Any Poké Ball used in the Entree Forest will catch the wild Pokémon without fail.
Generation VIII onward
When used from the Bag in a wild encounter, it attempts to catch the wild Pokémon. If used on a sleeping Pokémon, it has a 4× catch rate modifier; otherwise, it has a 1× modifier.
||A special Poké Ball that appears out of nowhere in a bag at the Entree Forest. It can catch any Pokémon.
|A special Poké Ball that appears in your Bag out of nowhere in the Entree Forest. It can catch any Pokémon.
||A somewhat different Poké Ball that makes it easier to catch wild Pokémon while they're asleep.
||A somewhat different Poké Ball that is more effective when catching Pokémon that are asleep.