From Final Fantasy XIV A Realm Reborn Wiki
Summon II is an action unlocked by questing at level 15. It's available for Arcanist.“
Summons a support-type pet to fight at your side.
- Shares a recast timer with Summon and Summon III.
— In-game description
Summon II summons a Titan-egi instead of a Topaz Carbuncle when the quest Austerities of Earth is completed.