In Knife of Dreams, Loial's mother reveals that the Great Stump is meeting to discussing opening "The Book of Translation". Covril says "We must leave this world eventually, so we can come to it when the Wheel turns...That is written." [KOD 19: Vows]
The mathematical definition of "translation" is "a transformation in which every point of a geometric figure is moved the same distance in the same direction". That is, it's a way of moving a point to another location. It seems like from Speaker Covril's description and this definition that the Book of Translation is intended to move the Ogier somewhere else. But where?
If, as has been postulated by many fans, the Ogier are not native to our reality, perhaps they are being returned to their home dimension? It seems likely that if that's the case, the stedding will go with them. The stedding do not follow the regular natural laws of Randland (i.e. the True Source is unavailable there and the stedding were only moved, not wrecked like the rest of the world during the Breaking) so it's not a stretch the believe that the stedding don't belong in this world either.