The Blues have had a €25m (£21.3m) offer rejected by the Serie A club but are closing on the Ivory Coast international.
Kessie’s representative George Atangana will travel to London and told the Guardian: “We have a lot of interest from the Premier League – Chelsea, Liverpool, Manchester United, Manchester City and Arsenal.
“Franck is very young so we have to be very careful about his development”
“I cannot say at this stage how much he will cost but we are talking about one of the best young players in the world.
“But for us the most important thing is that the technical project is the right one for him.
“Franck is very young so we have to be very careful about his development.
“Chelsea are very interested and it is a great club but we must take our time to consider all the options.
“Now we are in January so he has to play at the African Cup of Nations for Ivory Coast so I am not going to rush anything.”
Chelsea boss Antonio Conte has seen his transfer kitty swell by £60m following the sale of Oscar to Shanghai SIPG.
Kessie has made a huge impression in Serie A this season, hitting six goals in 16 appearances, with Atalanta flying high in the table.