Now that the primal threat is less immediate, Minfilia turns her attention to the matter of the Ascian, Lahabrea.
This quest is available if you have completed the quest Back from the Wood.
Starting the Quest
Talk to Minfilia in the Waking Sands in Vesper Bay in Western Thanalan to begin the quest. There will be a cutscene.
Speak with Swift
Go east to Ul'dah (or teleport, or go by chocobo, etc.) and use an Aethernet Shard to go to the Ul'dah Aetheryte Plaza (if you didn't teleport there directly). Go southeast through the hallway, then southwest to reach the Hall of Flames. Go inside and talk to Swift.
Speak with Hihibaru
Go to Eastern Thanalan and talk to Hihibaru to complete the quest.
Next Main Scenario Quest
After you complete the quest, talk to Hihibaru to accept the next quest: Highbridge Times.