Juventus remain fifth in the updated UEFA club ranking, but Napoli climb above Europa League winners Manchester United.
The updated rankings were released ahead of the group phases of the Champions League and Europa League, which begin next week.
Juve are still comfortably the top-ranked Italian side, in fifth place behind Real Madrid, Atletico Madrid, Barcelona and Bayern Munich.
The top 10 is completed by Sevilla, Paris Saint-Germain, Borussia Dortmund, Manchester City and Benfica.
Napoli are the next Serie A representatives in 14th place, hot on the heels of Chelsea and Arsenal, but ahead of Manchester United, who are only in 16th position.
Fiorentina are somewhat surprisingly in 20th place, with Roma at 27.