Once back in Florem, head to the matriarch’s house to trigger some scenes. After that, a party chat will be available. (Tres Fashionaaaabluh) You now have to talk to various NPCs to learn the trends in the village. First, talk to the NPC in the split right outside the martriarch’s house.
Next, head to the item shop. After the conversation, you can check the new party chat as well. (Florem’s Finest Food) Next, talk to the girl near the flowerbed outside the shop. Next, talk to the man near the edge of the walkway to the south. Another party chat will be available after the conversation with the man. (I Want This, and That, and...) Next, talk to the woman in a blue dress, northwest from where the man is standing. After that, head back to the Matriarch and talk to her.
After talking to the matriarch, another party chat will become available. (Sexy Clothes) Before leaving the matriarch’s hall, inspect the floral pattern behind her seat to find a hidden Tengu Yawn. You’ll also find a Star Pendant hidden in the wall to the east. Once done, leave the hall.
Head north to the stage and search the southeastern side to find a hidden Lilith’s Kiss. Head to the City Entrance and find the hidden Ether near the walkway leading outside. Right outside the magic shop lies a hidden Bomb Fragment as well. At this point, you can accept two new sub-scenarios before leaving the city.
Enter the Armory and the clerk will ask you a favor to search for two sisters in the gardens to the west of the city. For more details about this sub-scenario, you may follow this link.
For the other sub-scenario, head back to the Plaza area of Florem and talk to the girl in the intersection between the stage and the martriarch hall. She’ll tell you about the woman that sells it. Head back to the city entrance and talk to the girl near the entrance.
After this, go back to the girl in the plaza and approach her for a short scene. Next, head to the trader. You have to exit the town next and the blue marker will appear on the map. For more details about this sub-scenario, you may follow this link.
You can complete the two sub-scenarios above before continuing to the main story if you want to. To continue with the story, follow the trail back to the east. Once you’re near the Miasma Woods, you’ll find the entrance to Mount Fragmentum.