Rebirth

From A Wheel of Time Wiki

A rebirth occurs whenever a soul is reborn into another body, almost always to carry out a specific task, the Dragon Reborn being the most obvious example of this. Heroes are another example of souls that are constantly reborn to a specific purpose. Heroes are usually kept in Tel'aran'rhiod until their rebirth.

According to Semirhage, in the Age of Legends this concept was well studied. Sometimes voices of madness were of the affected persons' past life, and reintergration with these people was almost always impossible.