Casillas spent his second successive league game on the bench on Monday night.
The London Evening Standard reports that Arsenal could make a move for the goalkeeper as Casillas is considering a shock exit.
Casillas is currently behind Diego Lopez in the pecking order at the Bernabeu.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.