
The 31-year-old, who captained Senegal to victory at the 2021 Africa Cup of Nations, joined the London side in July after eight seasons at Napoli.
Koulibaly said Antonio Conte — now at the helm of Tottenham Hotspur but manager at Chelsea at that time — had tried to sign him after his first year with Napoli.
“I asked respectfully to the owner that I wanted to leave for Chelsea but he told me that it wouldn’t be possible,” he told the Guardian.
“So I waited a bit and continued my conversation with them but they really didn’t want me to leave the club so I decided to renew my contract to stay in Napoli.
“For me it was a bit hard to say no because it was my dream to play in the Premier League since I was a child.”
After realising his childhood dream, Koulibaly’s position at Chelsea meant his prospects of being in a trophy-winning team were stronger. Although Napoli came close to clinching the Serie A Scudetto under manager Maurizio Sarri, Koulibaly lifted only one Italian Cup trophy while at the club.
“With my personal experience, I know you don’t have to give a limit to your dream and my dream is to win everything with Chelsea,” he added.
“I know it will be difficult. I don’t come with arrogant behaviour. I come with respect, a lot of respect for everybody, but I know Chelsea is a big team and a team that has to win, that’s used to winning.”