Telepoints are simply Crystals used to travel easily around Vana'diel. There are currently nine of them around the world; three of them can be found in the mainland, three are found in the Outlands, and the remaining three are located in the past, in the Crystal War zones.
The ones found in the mainlands are outside Crags, while the others are merely in an altar-like teleportation circle.
Telepoints Across Vana'diel
The following is a list of all nine Telepoints:
Crystal War Telepoints