Tataru asks you to accompany her to Costa del Sol, where she will try her luck with a new endeavor.
This quest is available if you have completed the quest An Unexpected Ambition.
Starting the Quest
Talk to Tataru in the Arcanists' Guild in Limsa Lominsa to begin the quest.
Speak with Tataru
Go to Costa del Sol in Eastern La Noscea and go to the quest icon on the map. Talk to Tataru to proceed.
Speak with Tataru Again
Go south to the quest icon on the map and talk to Tataru.
Go north and check on the purple Destination. Kill the Morgawr that attacks.
Speak with Tataru Once More
Go to the quest icon on the map and talk to Tataru. There will be a cutscene.
Speak with Minfilia
Go to Revenant's Toll in Mor Dhona and enter the Rising Stones. Go into the Solar and talk to Minfilia to complete the quest.