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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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
Who of Europe’s top strikers will move to England this summer?