In addition to the set-up of Maurizio Sarri, AC Milan, Paris Saint-Germain and Atletico Madrid are closely observing the Brazilian star.
Richarlison, 21, has scored 10 times in 23 league games for the Toffees.
And since he won his first senior cap with Brazil last September, in three appearances he has shaken on six occasions for his country.
Although he has struggled to keep that prolific form with his club in recent times – he was dropped on the bench for the midweek defeat in Manchester City – which is not killing the growing interest in his talents.
Let Everton prepare for a fierce battle to keep the South American star – and they will demand double the £ 40 million that it cost him from Watford in July.
If he wants to stay or go he can depend on what happens to the Everton boss under fire, Marco Silva.
The Portuguese coach had a huge influence on the player's career – but he risks the sack at Goodison Park after a terrible set of results.
This would have been a great personal blow to Richarlison, who previously was a real stranger: the Watford Silva coach brought him to England from Fluminense in July 2017 for only £ 11.2 million.
After being nominated by Everton last summer, Silva immediately took his priority to persuade Richarlison to follow him in Merseyside.
Chelsea faces the Man City title pursuer tomorrow (16.00).