Kondogbia has also been linked with clubs such as Real Madrid, Chelsea and Manchester United.
The Daily Mail reports that Arsenal hope they can agree a fee with Spanish side Sevilla before orther clubs make their moves.
The Gunners have also been linked with the likes of Newcastle keeper Tim Krul and Swansea defender Ashley Williams.
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The start of the 2017-18 Premier League season is just around the corner and is shaping up to be one of the most competitive yet.
As always it is the so called “big clubs” that have splashed the most cash in the transfer window so far this summer. Manchester United or City? Arsenal or Tottenham? Who are the winners and losers of the transfer window so far?