Asked if Kane could break the record with 15 games still to play, Pochettino said: "He can do everything because of his mentality and how he is as a professional".
Everton manager Sam Allardyce brought on former Spurs winger Aaron Lennon, who was given a superb reception by the home fans, but the pattern of the game remained the same as Spurs threatened again and Son hit the post.
Everton, which had a headed goal by Wayne Rooney disallowed when it was 0-0, hasn't won any of its last five games in the league.
Harry Kane's record helps Tottenham thrash Everton
Everton had the ball in the net eight minutes later, but it was ruled out for offside.
New Barca Signing: I Got Goosebumps When I Met Messi
The Colombia global became Barcelona's second January signing this week following Philippe Coutinho to the Nou Camp. The deal is said to be so under the radar that not even Lionel Messi has a clue who the player will be.
'Obviously there's a lot of talk before the game about whether I'd do it or not so to get that goal early on in the game as well, it was a great achievement'.
In this photo taken by the EPA, Tottenham Hotspur's Son Heung-min (L) celebrates after scoring a goal against Everton during the English Premier League match between Tottenham Hotspur and Everton at Wembley Stadium in London on January 13, 2018.
James Ward-Prowse scored his first two goals of the Premier League season for Southampton but that wasn't enough to give the Saints a desperately-needed win as hosts Watford rallied to draw 2-2.
Test our resolve: Pakistan warns after Army chief Rawat's 'nuclear bluff' remark
This all comes after Inter-Services Public Relations (ISPR) Director General Major General Asif Ghafoor reacted to Gen. Rawat's statement and said such statements were unbecoming of a person of his stature.
Allardyce added: "It was a very hard day for (new signing) Cenk Tosun on his debut today, a very hard day for us all in the end".
"I don't think he would have had this too often at Besiktas where he was left up on his own playing".
Chelsea were unable to pierce Leicester's defence and were second-best for long periods at Stamford Bridge, even after visiting left-back Ben Chilwell was sent off for a second bookable offence midway through the second half. I saw some of the good signs of the players last week against Liverpool, and I saw some of the worst signs second half tonight. The 25-year-old South Korean made a pass to Dele Alli who then back heeled the ball for Christian Eriksen's goal. Daniel is the same, he wants to win like us. In this way, he will break all the records in the Premier League.
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