The pair followed the footsteps of Arouna Kone, who had already left Wigan to join his old manager.
Alcaraz was out of contract at the club, whilst Robles was on loan at Wigan last year and joins Everton from Atletico Madrid.
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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.