The duo have been pictured undergoing medicals a the Turksih side in recent days.
Malouda, 33, and defender Bosingwa, 30, will join the club as free agents.
Malouda was released by the Blues at the end of last season, while QPR announced on Sunday that Bosingwa had left the club by mutual consent.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.