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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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.