Raubahn asks you and the refugees to join him for further discussion at the Hall of Flames.
This quest is available if you have completed the quest The Mother of Exiles.
Starting the Quest
Talk to Raubahn at the Chamber of Rule in Ul'dah to begin the quest.
Speak with Raubahn
Go northeast to the aetheryte and use it to go to the Ul'dah Aetheryte Plaza. Go southeast through the hallway, then go west to the Hall of Flames, and talk to Raubahn. There will be a cutscene.
Speak with Alphinaud
Go northwest to the Ul'dah Aetheryte Plaza and use the Aetheryte to go to the Adventurers' Guild. Go west, up the stairs, and enter the Quicksand. Talk to Alphinaud to complete the quest. There will be a cutscene.
Next Main Scenario Quest
After you complete the quest, talk to Alphinaud to accept the next quest: Yugiri's Game.