Brazilian Kaka has barely featured of late for Real Madrid, with whom he has never really settled.
And Sneijder is currently out of favour at Inter Milan as he weighs up a pay cut at the San Siro.
Both are now being looked at by the Turkish champions, according to Fanatik.
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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.