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The 33-year-old is a free agent after leaving Palace in June after a short stint at Selhurst Park and has failed to find a new club since.
And, according to Marca, Getafe have pounced to snap Flamini up this month on a free transfer.
The Frenchman spent seven seasons at Arsenal across two spells while also spending five years at Milan.
And it would appear the experienced midfielder is set for his first taste of La Liga action after agreeing a deal with Getafe.