According to Sportitalia, Arsenal is preparing a €50 million offer for the Nigerian international, with Jakub Kiwior potentially included in the deal.
Lookman, who has also attracted interest from Paris Saint-Germain, is reportedly keen on a Premier League return, particularly given his London roots.
Liverpool are also monitoring the situation closely.
Despite the mounting interest, Atalanta remains hopeful of retaining the 26-year-old, following an impressive season where he notched 17 goals and 10 assists in 45 appearances.