When Grasp of Fate enters the battlefield, for each opponent, exile up to one target nonland permanent that player controls until Grasp of Fate leaves the battlefield. (Those permanents return under their owners' control.)
The exiled cards return to the battlefield immediately after Grasp of Fate leaves the battlefield. Nothing happens between the two events, including state-based actions.
In a multiplayer game, if Grasp of Fateâ€™s owner leaves the game, the exiled cards will return to the battlefield. Because the one-shot effect that returns the cards isnâ€™t an ability that goes on the stack, it wonâ€™t cease to exist along with the leaving playerâ€™s spells and abilities on the stack.
If Grasp of Fate leaves the battlefield before its triggered ability resolves, no nonland permanents will be exiled.
If a token is exiled, it ceases to exist. It wonâ€™t be returned to the battlefield.
Auras attached to exiled nonland permanents will be put into their ownersâ€™ graveyards. Equipment attached to exiled creatures will become unattached and remain on the battlefield. Any counters on exiled nonland permanents will cease to exist.