According to Tom Collomosse in the Evening Standard, Kane remains content at Spurs after another successful season, but both Bayern and Real "have asked to be kept informed of his plans."
Following his breakout season in 2014-15—during which he scored 21 Premier League goals—he has had an even bigger impact in the current campaign, netting 22 times as Spurs have battled for the title, per WhoScored.com.
Kane is set to be a key man for England at UEFA Euro 2016 in the summer, and the fact he has proved his consistency this term is undoubtedly what has piqued the interest of Bayern and Real.
|Player Comparison: 2015-16 Season|
|Age||Appearances (as a sub)||Minutes||Goals||Assists|
|Robert Lewandowski (Bundesliga)||27||26(3)||2390||27||2|
|Harry Kane (Premier League)||22||33||2920||22||1|
|Karim Benzema (La Liga)||28||22(1)||1707||22||5|
At just 22 years old, Kane is one of the most talented young strikers in Europe, and Real could reportedly be looking for a replacement for Karim Benzema in the summer as they plan to sell the Frenchman, per Collomosse.
Meanwhile, Bayern's No. 1 striker Robert Lewandowski has been linked with a move to Los Blancos since the appointment of Zinedine Zidane as manager, as noted by the Independent's Mark Ogden, and Bleacher Report's Sam Tighe believes he'd fit in well at the Santiago Bernabeu:
However, it is unlikely either club will be able to prise Kane away from White Hart Lane this summer.
Per Collomosse, he is expected to be offered a new and improved contract soon despite having only signed his most recent five-and-a-half-year deal—worth £50,000 a week—14 months ago.
The London-born striker came through the youth ranks at Spurs and is a fan favourite at the north London club.
Kane could perhaps only be tempted to leave Spurs if manager Mauricio Pochettino is snapped up by a bigger club.
He recently expressed his desire for the Argentinian to stay at Tottenham for some time yet amid links with the Manchester United job, per David Wright in the Express: "He's a great manager and you want the best managers from around the world at your club. When you have a top manager you want them to stay around for a long time. You can see how the rest of the team has improved under him."
However, with Spurs set to be in the UEFA Champions League next season and perhaps even Premier League title winners this term, it would be an odd time for either Kane or Pochettino to up sticks and leave the club.
Kane is still very young, though, and is only likely to get better and better, thus Real and Bayern's interest in him will surely persist past this summer.