According to La Repubblica, the Blues keeping a close eye on Rashford’s situation at Old Trafford.
The England international has scored only four Premier League goals throughout the 2021-22 season and five in all competitions.
The 21-year-old winger has been heavily linked with a move away from Goodison Park this summer after Chelsea and Newcastle United both made offers.
The Magpies’ bid was believed to be in the region of £35m – was rejected, while the Toffees have also turned down £40m and £45m offers from the Blues.
Chelsea have emerged as rumoured suitors for Manchester United defender Harry Maguire.
Following the exits of Andreas Christensen and Antonio Rudiger this summer, the Blues have been quite busy strengthening their defence.
Kalidou Koulibaly and Marc Cucurella have arrived at Stamford Bridge, but Thomas Tuchel’s side are still keen to sign another centre-back before the transfer window shuts down on September 1.