Along the path with the spotlights you can collect the Tablet of Paddra in the Pass of Paddra area, along with the Fruit of Fenrir. In order to reach the Fruit of Fenrir, you’ll need to use a Chocobo. The Fruit rests in a treasure box up on a raised area of the map. Grab both items to help complete the Sword of Lachesis and Tablet of Paddra side quests.
Now head out to collect the remaining Fragments in the area. The first is the Pathos Jewel, and it is located by the area where you first spoke with Hope. Climb up the ramps to the northeast in the Paddraean Archaeopolis area and go to the edge of the platform facing the giant statue of a head. Use Moogle Hunt to find the chest, and Moogle Throw to obtain the Pathos Jewel Fragment from inside of it.
The next Fragment in the area is the Misery’s Bead Fragment. In order to find this Fragment you must speak with the NPC Brenda, who will be standing to the south of Chocolina in the Pass of Paddra. She will ask you for a Behemoth Fang, which naturally can be obtained by defeating the Feral Behemoths that roam the area. You may have one of these already if you ended up getting sucked into a battle with one of the creatures during the spotlight section of your first visit, in which case you can finish this quest up quickly. Otherwise, head out to the beginning of the Yaschas Massif area and wait for one of the creatures to attack you. At this point, the battle should be over in a matter of seconds. Collect the Fang and return it to Brenda in exchange for the Misery’s Bead Fragment and 300 experience points.
The next Fragment you’ll pick up is Amur’s Sphere. Speak to the NPC named Cole in the Paddraean Archaeopolis. He can be found near where you spoke to Hope and Alyssa, standing at the base of a ramp. You’ll have to travel through the Historia Crux to Yaschas Massif 01XAF to get this item. Search for a chest hidden behind a group of crates to the south of the Chocobo in the Paddraean Archaeopolis area. Return the Old Battery to Cole in exchange for the Amur’s Sphere Fragment and 300 more experience points.
The final Fragment in the area is called the Innocence’s Sacred Sphere Fragment. While you’re in the Paddraean Archaeopolis area, speak with Shannon to begin the required quest. She’ll be standing by the ramp near the giant head statue as well. You’ll have to travel to Yaschas Massif 110AF to find the Outdoor Watch that she asks you for. It is located in the Pass of Paddra area in a chest to the Northwest. You’ll have to use Moogle Throw to grab it. Return it to Shannon to get the Innocence’s Sacred Sphere Fragment.