Antonio Conte tried to sign the Atalanta powerhouse midfielder in January.
The Blues firmed up their interest with a £27million bid which was rejected.
Kessie has been dubbed the ‘new Yaya Toure’ and his agent is in no doubt there will be lots of clubs queuing to sign him up in the summer.
Five most likely summer deals according to the bookies
Wed, February 1, 2017
Express Sport takes a look at the five most likely deals that could happen this summer. Odds provided by BetStars
1 of 5
Griezmann to the Premier League – Man Utd 15/8, Chelsea 6/1, Man City 8/1
Chelsea are keeping tabs on Franck Kessie
Antonio Conte wanted to sign Franck Kessie in January
There are at least 20 clubs following the lads, including the best in Europe
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Franck Kessie's agent
“There are at least 20 clubs following the lads, including the best in Europe,” he told Radio Kiss Kiss.
Napoli are believed to be amongst the potential suitors and Kessie’s agent admits it could be a tempting move.
He added: “We haven’t spoken to [president] Aurelio De Laurentiis yet.
“We’ll talk about the transfer market in June. Napoli is an attractive club, they have a great coach in Maurizio Sarri.
“His price? Whoever wants him will have to invest a lot.”