Haidara is a full back who joins from struggling Nancy, whilst Yanga-Mbiwa signs for 8 million euros.
Gouffran is a Bordeaux striker who will move for a fee in the region of £1.5 million, according to reports.
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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.