To get to Remiem Temple get a chocobo at the Calm Lands and go to the southern entrance (to Macalania Woods) and go right before it. You'll see a yellow feather on the ground. Press X to jump the gap and dismount where you see a round heading east. That's Remiem Temple. Here you can do a couple of side quests.

¤ Chocobo Racing

Here you can race against an other chocobo and you can win a price depending on how good you are. First go to the left side of the temple outside and examine the sphere to get instructions. After the instructions go to the right side and talk to the chocobo. You can ride it. Your goal is to get to the center of the circle first with with as many chest you can open and the least poles touched on the way. Here are the prices you'll receive if you win:

• First win: Cloudy Mirror
• One chest opened, no poles: 1x Elixer
• Two chests opened, no poles: 1x Megalixer
• Three chests opened, no poles: 30x Wings to Discovery
• Four chests opened, no poles: 30x Pendulum
• Five chests opened, no poles: 60x Three Stars

If you win and got the same result as above you'll receive a Potion instead.

¤ Belgemine's Aeons (Spoilers!)

When you enter the temple you see Belgemine. She's will tell you what she really is and offers a challenge: defeat all her aeons. This is a one to one battle. When you defeat an aeon for the first time you'll receive a price and for each other victory an other price.

When you defeated all aeons you can send her to the farplane. If you do that you'll receive the Moon Sigil. If not you'll have to fight the Magus Sisters again before you can send her.

¤ Magus Sisters

Behind Belgemine there's a Chamber Of The Fayth. But you need 2 items to open the door: The Flower Sceptre and the Blossom Crown. You'll receive the Flower Sceptre when you defeated Belgemine's Bahamut and the Blossom Crown when you have caught all beasts of Mt. Gagazet. Inside the Chamber Of The Fayth you'll get the Magus Sisters!