The Argentine has been in excellent form for the Serie A side this season, with his goal tally standing at a whopping 13 in 22 games.
Chelsea scouts – as well as those from Liverpool and Manchester City – are understood to have been present for Inter’s 3-0 weekend win over Palermo, in which Icardi netted twice – and failed to celebrate either.
Further to this, the South American is currently locked in contract talks with the San Siro giants, with his £11,000-per-week earnings one of the lowest figures at the club.
He wants closer to £43k-per-week, but the Italian side are reluctant to go above a figure of £28k.
This has alerted Chelsea, who are plotting for life after Drogba.
The 36-year-old Ivorian is now at the back end of a glittering career, and may step into more of a coaching role.
Liverpool have been heavily linked with Icardi, and even chased him after selling Luis Suarez last summer.