Pokémon Conquest features about ten legendary Pokémon. During the episodes, a character sometimes announces that a mysterious Pokémon has been spotted in a kingdom, marked with an exclamation point: a new location appears there, with the legendary Pokémon alone. It may be your only chance: bring the warlord who has the best Link with it. Here are the conditions, based on Serebii.

PokémonKingdomConditionBest warlord
TerrakionCragspurHave a 70% Link with BastiodonKeiji
ArticunoNixtormFinish Mitsuhide’s episode, locations at level 3Mitsuhide
RegisteelValoraHave 15 or more warlords with their perfect partner, and the Unifier CrystalIeyasu
GroudonTerreraFinish Shingen’s episode, locations at level 3Shingen
DialgaValoraIna and Tadakatsu at rank 2, the Warrior Crystal and 50 or more warriorsTadakatsu
MewtwoIllusioFinish Kenshin’s episode, locations at level 3Kenshin
Reshiram—Wi-Fi episode “Hideyoshi and Reshiram” onlyHideyoshi
ZekromViolightNobunaga at rank 2 and the Conqueror CrystalNobunaga
ArceusAuroraHero’s episode, with an 80% Link with Eevee or an evolutionThe hero
RayquazaDragnorOwn all the other legendary PokémonNobunaga

The crystal names are those of the English version (Unifier Crystal, Warrior Crystal, Conqueror Crystal).