Tottenham Hotspur are well in contention for the Premier League title this season with Harry Kane the catalyst of their unprecedented charge.
The Englishman has enjoyed an excellent campaign at White Hart Lane, scoring 24 league goals thus far and eclipsing last campaign's total of 21 with four games to spare.
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Los Blancos are long-term admirers of the striker and reportedly sent scouts to watch him play on three separate occasions last season.
Manager Zinedine Zidane has previously praised the clinical England international, saying: "Kane and Raheem Sterling are two exciting players for England.
"This summer in France will be a real opportunity for the rest of Europe to see how good they are."
Kane has since responded to the Frenchman's kind words: "It's amazing to hear those sorts of compliments from some of the best players in the world and some real legends of the game.
"It means I’m doing something right, which is good."
Rumours suggest Real are considering offloading Karim Benzema this summer and believe Kane to be his ideal replacement at the Bernabeu.
Meanwhile, Bayern have thrown themselves into the mix and appear ready to fight for the 22-year-old's signature.
The Bavarians are in talks with Robert Lewandowski over a new contract amidst rumours he too is a target of Real's. He has three years left on his current deal at the Allianz-Arena.
However, Kane signed a new five-and-a-half-year deal just 14 months ago, with a new and improved contract potentially in the offing amidst manager Mauricio Pochettino's desire to keep him in a Tottenham shirt.
The striker was on target once again during Spurs' impressive 4-0 victory over Stoke City on Monday night, scoring twice and helping reduce the gap at the top to five points behind Leicester City.