The defender is highly rated at Goodison Park, with many touting him as Stones' direct replacement.
Tottenham's Dele Alli in action with Everton's Mason Holgate
Stones was a major success story on Merseyside, establishing himself as one of the hottest prospects in Europe before completing a move to Manchester City this summer.
The Blues are now keen to replicate that success story by developing the next John Stones at the club.
Tottenham's Dele Alli and Everton's Mason Holgate, Phil Jagielka and Ramiro Funes Mori
Holgate is the one that many are tipping for greatness given the very similar career path that the two players have shared, with the defender also having broken through at Barnsley.
The player though, is keen to stress that he does not feel as if he is following in Stones’ footsteps.
“He’s his own man, I’m my own man,” he told the Liverpool Echo.
“I don’t see myself following in his footsteps. Obviously, he is a good player and to get compared like that is flattering but I want to do my own things and make my own way.”
Tottenham's Dele Alli in action with Everton's Mason Holgate and Ross Barkley
It remains to be seen if Holgate can go on to enjoy the same kind of development at Everton that Stones had.
Koeman certainly appears to have confidence in the youngster given he was quick to hand him his debut against Tottenham.
Holgate impressed in that game, and it will be interesting to see if he is a regular in the Dutchman’s defence in future. Everton fans will certainly be keeping a keen eye on him.
Everton manager Ronald Koeman before the match