A new feature introduced in this Pokémon is the Connection Orb feature. This feature gives you a web of all the Pokémon you have connections with. As you fully connect with one Pokémon, it will often branch out connecting to multiple more, over and over until a full web is formed.
When you access the Connection Orb map, you'll be able to see the Pokémon you have seen and their connections. Often connections are based on in-game friendships from all Pokémon Mystery Dungeon games, such as with Team ACT from Red/Blue Exploration Team and Team Charm from Explorers of Time/Darkness/Sky.
In here, you'll be able to search for Pokémon by name or sort them alphabetically by colour, type and more, and see their current stats and movesets. If a Pokémon hasn't been fully connected to, you can see if it has a special mission assigned to it and what that mission is.