The 22-year-old has experienced a wonderful campaign in the principality of Monaco, helping the club reach the quarter-finals of the Champions League against the odds.
His performances have attracted plenty of interest this summer, with the Mirror crediting Arsenal with piecing together plans to lodge a £25 million bid in order to tempt him away from his Ligue 1 employers.
“The Manchester City management team have turned their attentions to Kondogbia, and the club now know Monaco’s requests of any deal: Between €35-40 million,” the report states.
City boss Manuel Pellegrini seems keen to bolster his midfield options following the waning influence of star man Yaya Toure plus the inconsistent displays of Fernadinho and Fernando.
The report in Le10sport goes on to say that City would be willing to use players such as Edin Dzeko and former Arsenal man Samir Nasri as potential makeweights for Kondogbia.
The full French international started 22 top-flight games for Monaco last season and earned plenty of plaudits as one of the best defensive midfielders around, averaging 3.1 tackles and 2.5 interceptions per encounter.
He is all-but assured of leaving Monaco this summer, but the race for his signature is beginning to intensify, with a number of teams desperate for a player of his expertise.