Liverpool's English Premier League title winning captain Jordan Henderson was named England's Footballer of the Year on Friday in the annual vote of the Football Writers' Association (FWA).
Sky reported Manchester United, Manchester City and Chelsea have been in touch with Kane's representatives.
A fresh chapter in Leicester City's unlikely fairytale was written on Saturday as they ensured they would sit top of the Premier League tree on Christmas Day exactly one year after languishing at the foot of the table.
Chelsea slipped up in their push for a Champions League spot when they lost 1-0 at home to Arsenal in the Premier League on Wednesday with Emile Smith Rowe's first-half goal settling the London derby after a defensive mix-up by the hosts.
Cristiano Ronaldo and Lionel Messi will resume their perennial battle to be crowned the world's best footballer after they headed the shortlist of 30 players for the 2016 Ballon d'Or announced on Monday.
Manchester City now need, at most, 11 points from their remaining seven matches to secure their third Premier League title in four seasons.
Goalkeeper Alisson Becker scored a stunning header in the fifth minute of stoppage-time as Liverpool snatched a 2-1 victory at the death against relegated West Bromwich Albion at The Hawthorns on Sunday.
Leicester City manager Claudio Ranieri said it was his job to take risks and chase victories if they are to land the unlikeliest of Premier League titles.
A preview of the line-up action in the English Premier League.
Leicester City striker Leonardo Ulloa has accused manager Claudio Ranieri of betraying him and said he will never play for the Premier League champions again.
If Claudio Ranieri was hoping there might be a player lurking in his reserves to salvage Leicester City's unravelling season he was left disappointed on Saturday as his side were beaten 1-0 by third-tier Millwall in the FA Cup fifth round.
Liverpool blew a chance take a vice-like grip on the title race and Chelsea suffered their worst league defeat in 23 years.
Holders Manchester City held their nerve to beat Leicester City 3-1 on penalties and reach the League Cup semi-finals after an entertaining last-eight tie ended 1-1 on Tuesday.
Belgium begin their campaign in St Petersburg against Russia on June 12
Shakespeare assumed a caretaker role in February after Claudio Ranieri, who led Leicester to a stunning Premier League title triumph in 2015-16, was dismissed with the club mired in relegation trouble.
Chelsea came from behind to beat Leicester City 3-1 on Wednesday and move to within one win of clinching the Premier League title for the first time in five years.
Manager Mauricio Pochettino bemoaned his side's first half display as Tottenham Hotspur's poor run of form continued with a disappointing 2-1 defeat at Leicester City in the Premier League on Tuesday.
Jose Mourinho's next managerial role has been revealed with the Portuguese leading 'England' against Claudio Ranieri's 'Rest of the World' side as the former Chelsea bosses clash at Old Trafford on June 5 in a charity match for UNICEF.
'We're in the Champions League, but the last five games will be terrible.'
Holders Manchester City were eliminated from the League Cup by West Ham United after a penalty shootout at London Stadium on Wednesday, ending Pep Guardiola's team's four-year domination of the competition.
Newcastle's worries deepened as they now remain at 19th in the table.
Leicester City's Kelechi Iheanacho scored two poacher's goals as they beat Manchester United 3-1 in their FA Cup quarter-final on Sunday to set up a last-four clash against Southampton.
It was a third successive 0-0 draw for United after a stalemate at Chelsea on Sunday and against Real Sociedad last Thursday which completed a 4-0 aggregate win over the Spanish side in the Europa League.
Leicester City have the chance of making anything between 150 million pounds ($220 million) and 250 million pounds ($365 million) from their sensational Premier League triumph, according to sports marketing experts. The city of Leicester in England's Midlands should also expect to enjoy a huge commercial boost after its hometown team wrote the unlikeliest of sporting success stories, one that has captured headlines around the world. Yet though the club known as the Foxes will gain this substantial windfall, they still have a long way to go to join the true big-money elite of world football. The club that had never won the top-flight crown in its history will cash in through the 90 million pounds in prize money from the Premier League, and money from competing in Europe's Champions League next season, as well as increased TV and match day revenue.
Saints' keeper Angus Gunn saved Theo Walcott's penalty and defender Cedric slotted his effort past Maarten Stekelenburg to put the visitors into the last-16 where they will play away at Leicester City.
Arsenal have signed striker Lucas Perez from Deportivo La Coruna, the Premier League club said on Tuesday. The 27-year-old netted 19 goals in all competitions last season as Deportivo finished 15th in La Liga.
Manchester City survived a stirring Leicester City fightback to claim a 2-1 win that lifted them above Liverpool into third in the Premier League on Saturday.
Jamie Vardy pounced just before halftime to earn Leicester City a 1-0 over West Brom at The Hawthorns on Saturday, to take them closer to Premier League survival.
Premier League champions Leicester City must pick themselves up to rediscover the winning habit and get their season back on track, winger Marc Albrighton has said.
Leicester City manager Claudio Ranieri is holding special training sessions for Jamie Vardy, Islam Slimani and Riyad Mahrez and hoping they can forge a prolific attacking threat capable of terrorising Premier League defences. Leicester relied heavily on goals from Vardy and Mahrez when they romped to a maiden league title by a 10-point margin last season but this term have scored just eight times in seven league matches. Ranieri is convinced the work he is putting in on his strike trio will pay dividends, however.
Leicester City striker Jamie Vardy has scored six goals in his last seven Premier League games but manager Craig Shakespeare wants more from the England international.
Premier League clubs enjoyed record revenues of 3.3 billion pounds ($4.76 billion) in 2014-15 thanks to broadcast deals that will be even more lucrative next season, according to Deloitte.
James Rodriguez netted twice and Dominic Calvert-Lewin became the first Everton player to score in the opening four matches of a Premier League season as they beat Brighton & Hove Albion 4-2 on Saturday to stay top of the table with a maximum 12 points.
Soccer highlights from across the globe.
Champions Leicester will be relegated from the Premier League if they don't improve quickly, goalkeeper Kasper Schmeichel said after their 3-0 home defeat by Manchester United on Sunday.
Leicester City's England striker Jamie Vardy has been named Premier League Player of the Season after his pivotal role in the club's remarkable title-winning campaign.
Leicester City manager Claudio Ranieri will earn a five million pound ($7.33 million) bonus if his team win the Premier League title.
Liverpool's Mohamed Salah ended his Premier League goal drought in style by scoring twice as the champions raided the capital again to crush West Ham United 3-1 on Sunday.
The Sun on Sunday published a video showing the alleged incident, which is believed to have taken place in July.
Indian football will get a boost when a team from Leicester, UK, tours Goa next month to play in the Spice Jet Cup as part of an initiative to strengthen ties between the two countries. The team, picked by Leicester City Football Club, is part of an initiative called the Leicester India Football Link.