The 28-year-old hit double figures in both goals and assists during the 2021-22 season, scoring 10 goals and setting up 10 more in 47 games across all tournaments.
Fekir helped Manuel Pellegrini's side win the Copa del Rey last term, and he still has four years left to run on his contract with the La Liga club.
Nevertheless, Calciomercato claims that Milan have been offered the chance to sign the former Lyon man, but his price tag could scupper a move to San Siro.
Betis are said to be after as much as €35m (£29.8m) to sanction Fekir's exit after agreeing a new deal with the Frenchman back in January.
Meanwhile, speculation surrounding Maxwel Cornet's anticipated exit from Burnley is gathering pace after the Clarets' relegation from the Premier League.
Cornet had allegedly been viewed as a target by Chelsea, but Everton are now leading the race to sign the Ivorian attacker ahead of the 2022-23 season.
According to The Sun, Burnley have already turned down one bid from Everton, which would have seen Cornet join on loan with a view to a permanent deal if the Toffees stayed up.
Frank Lampard is understood to have identified Cornet as an ideal replacement for Richarlison, but an outright fee of £18m will be required to prise him away from Turf Moor.
The 25-year-old hit nine goals in 26 Premier League outings for Burnley last term and is contracted to Vincent Kompany's side until 2026.
Over at Villa Park, 18-year-old Aston Villa protege Carney Chukwuemeka is not just attracting interest from English clubs after bursting onto the scene.
The midfielder made 12 Premier League appearances last season, but clubs are on alert after Steven Gerrard left him out of his pre-season squad for their trip to Australia.
Barcelona have been strongly linked with a move for Chukwuemeka, who became European Under-19 champion with England earlier this month.
Now, The Mirror reports that Paris Saint-Germain have also entered the race to sign the teenager, who only has 12 months left to run on his current contract with the Lions.
Arsenal, Manchester City and Manchester United have also been credited with an interest in Chukwuemeka, with Aston Villa now ready to cash in.
Finally, Liverpool outcast Ben Davies is expected to end a forgettable Anfield stint which has seen him fail to make a single appearance for the Reds in any competition.
The centre-back scored once in 22 Championship appearances for Sheffield United during a loan spell last season, and he is not thought to be short of offers.
According to The Sun, as many as four clubs are interested in signing Davies, including Rangers and Burnley, the latter of whom have lost James Tarkowski and Ben Mee this summer.
The report adds that Blackburn Rovers and Stoke City are also keeping a close eye on developments after Davies was given the green light to leave Liverpool.
The 26-year-old arrived as an emergency signing in 2021 for just £1.7m and is under contract at Anfield for another three years.