There are several items and Fragments of note in this area. The first item is the Labyrinth Gate Seal. This can be found on the stone ramp, hovering over a gap to the southeast. Use Moogle Throw to grab it. Second of the interesting items is the Silver Petal. To find this item, examine the flower in the Lamentable Rest area. You should have picked this up for the Anima Miseria side quest while you were exploring Bresha Ruins 005AF. Finally, the Old Device sits in a stuffed animal in the Lamentable Rest zone and is needed for the Rhodium Ring side quest in Bresha Ruins 100AF.
While running around the area collecting your items, you may encounter a temporal disturbance. They look like a sort of miniature black hole, and the herald the arrival of unique monsters. These creatures are pretty strong, but at this level you should be able to deal with them just fine.
Now that you’ve collected the various items in the area, you should head out in search of the four Fragments that rest in Bresha Ruins. The first is the Platinum Ring Fragment, which is obtained in a quest that begins near where you first spawned into the area. Speak to the NPC named Jonah on the steps to begin this quest. Go northwest, to the corner of the Echoes of the Past area, and use Moogle Hunt near the Chocobo. You will reveal a chest. Open it to receive the Recording Device that Jonah was looking for. Return it and he will trade you the Platinum Ring Fragment.
The next Fragment is the Mythril Ring Fragment. Speaking with Thurston in the tunnel to the southeast of the Echoes of the Past area will begin the quest. Go to the side of the map, by the Chocobo, and then head southeast to find the Commander. Speak to him to get the Commander’s Report item, which you should then return to Thurston. He will exchange the Mythril Ring Fragment for the Commander’s Report.
The third Fragment is called the Iridium Ring, and it can be found in the Lamentable Rest area. You will have to speak with an NPC named Lex. He will appear as an outline until you use Moogle Hunt. Speak with him to obtain the Iridium Ring side quest. Find Lex’s friend in the southwestern tunnel in the Echoes of the Past area and speak with him to begin a Live Trigger Event. He will ask you several questions. The answers, in order, are: “A job as a shoe salesman would be your best fit,” “Need an ark? I Noah a guy,” and “Salt merchants are movers and shakers.” Return to Lex with the item you receive to get the Fragment.
The final Fragment in the area is the Control Device Password 2 Fragment, and it can only be obtained after you’ve collected the previous three. You also have to begin the Adamantite Ring side quest in Bresha Ruins 100AF. Now head to the chamber with Atlas control device in the Echoes of the Past area. Speak to the NPC called Governmen Agent. You will have to solve a small series of puzzles to get the Control Device Password 2 Fragment and 400 experience points.