According to the Daily Star Barca could launch a £200m bid for the England captain.
They are also tracking Kylian Mbappe, Atletico Madrid ace Antoine Greizmann and Everton’s rising Brazilian forward Richarlison, but Kane is the top target.
And they will get a good look at him on Tuesday night when Tottenham face Barcelona in the Champions League.
Kane and Christian Eriksen were rested by Mauricio Pochetino against Leicester tonight with Tottenham needing three points at the Nou Camp to progress in the Champions League.
Tottenham want to keep Kane, but it is claimed they could be forced to sell due to the increasing costs of the new stadium.
Kane signed a new deal until 2024 but has previously admitted he’d be tempted to move to Spain.
Eleven Sports pundit Terry Gibson said of Kane: “When I look around the game, I can’t find another goalscorer of Kane’s age who is better.
“Who else scores the remarkable number of goals he does? It’s impossible to find anybody as good.
“All the other big hitters are 30 or older and that makes me worried.
“As a Spurs man, I don’t want Kane to become the next big thing in La Liga. ‘I’ve had that with Luka Modric and Gareth Bale for years – and I’m fed up with it.
“In the end it will come down to what Harry wants. It’s always hard for a player when the biggest clubs in the world want you.”