According to La Gazzetta dello Sport however, Everton were the only side to have tabled a bid for him at present as they seek to bolster their squad following a relatively quiet summer on Merseyside
Alternatively, Gianluca Di Marzio had both Southampton and Norwich as the main two sides battling it out for his signature, claiming that the Italians wanted as much as £8 million for their man.
His agent though, has apparently rubbished a move from Naples, saying that his player does not want to leave and will remain with Napoli.
"He has not changed his mind, nothing has changed compared to two weeks ago,” Bruno Satin told TMW.
“They run so many rumours but the will of Bruno is to remain at Napoli. The boy wants to stay and will remain a Napoli player. They can write what they want but there are possibilities: it is not due, is a player of Naples, has a contract with for many years and there is no reason to leave."
A bigger blow for Everton than Norwich or Southampton
The news from Koulibaly's agent will likely come as more of a blow to Everton than Southampton and Norwich, with the Toffees in more dire need of defensive reinforcements than their Premier League rivals.
With Sylvain Distin and Antonlin Alcaraz both departing the club at the end of last season, manager Roberto Martinez only has Phil Jagielka and John Stones as senior centre backs, with youngster Tyias Browning and Brendan Galloway the only current back up.
Koulibaly then, would have been a welcome addition for him; although it seems that won’t be happening based on his agent’s latest comments.