TalkSPORT reports how the 20-year-old Frenchman has been heavily linked with a move to England after a number of impressive performances in La Liga in 2012/13, with a host of other top European clubs also monitoring his situation in Spain.
Gunners boss Arsene Wenger has been credited with an interest in bringing Kondogbia to the Emirates Stadium when the transfer window reopens on July 1, but could face serious competition to secure his services.
Manchester City were also rumoured to be planning a bid to rival Arsenal's as they too wanted to lure the player to the Etihad Stadium.
However, that was prior to the sacking of Roberto Mancini last week, so the club could conceivably turn their attention to alternative targets in the summer, once they've appointed a new manager.
Either way, interest in Kondogbia remains high - with or without Manchester City - as his representative Oscar Damiani revealed in an interview with France Football.
"Not only do Real Madrid, Barcelona and Bayern Munich want him - there are also two English clubs," he said. "This does not surprise me because he is an excellent player who could play for any big European club."