“The Premier League champions are likely to offer him a new deal after his five years at the club,” states the report in The Sun.
“But Everton could try and tempt him with a big offer as they step up their search for a new No1 following Tim Howard’s departure.”
The former Manchester City goalkeeper played an important role in Leicester’s stunning Premier League title triumph during the 2015-16 campaign.
The Denmark international was one of the best in his position in the league this past season.
Everton finished outside the top 10 in the Premier League in 2015-16 and are yet to officially appoint a new manager following the departure of Roberto Martinez.
It is hard to see Schmeichel leave Premier League champions Leicester and join the Merseyside outfit in the summer transfer window.
Leicester will feature in the Champions League next season, and the former Leeds United goalkeeper will surely be looking to play in Europe’s premier club competition.
Everton and Leicester fans have taken to Twitter to give their reaction to the speculation on the future of Schmeichel.
Below are some of the best comments:
Everton fans on Kasper Schmeichel:
@terry77owen Put it another way, would you have been happy spending £20m plus on Kasper Schmeichel before this season?— Andy H (@Andy_H_EFC) June 12, 2016
Schmeichel - no thanks. Leicester have just upgraded on him and nobody would even consider him if Leicester hadn't just won the league— Andy H (@Andy_H_EFC) June 12, 2016
Hopefully that LcFc squad is ripped apart ( lose Mahrez Kante Vardy) so we can go in for schmeichel— Time to go ROY LAD (@EFC_Jayy) June 12, 2016
Once Koeman is sorted...Mata, Shawcross, Long, Deeney, Schmeichel, Moussa Sissoko, Wijnaldum & Batshuayi. Cheers #EFC— Cumbrian Toffee (@BlueToffee72) June 5, 2016
Called for Kasper Schmeichel signature even when he was in Championship...get him.— D Lee (@StoneMaiden7) June 12, 2016
Leicester City fans on Kasper Schmeichel:
The Sun is reporting that Everton are set to make a £20m swoop for Kasper Schmeichel - don't worry though, it's The Sun #LCFC— LCFC News (@LCFCNEWS_1884) June 12, 2016
@TheSunFootball Get lost Everton, why would he come 2 u, he's got Champions League here— SINGHbetterThanKING (@topsingh61) June 12, 2016