The Englishman doubled his tally for the afternoon on 59 minutes and while it was the prettiest goal he will score, it was the crucial record-breaker to make him Spurs' most prolific player in the Premier League era.
"It was a great performance, but it's not only today", Pochettino said of the forward.
There was a touch of good fortune about his first, which put Tottenham 2-0 ahead, as he looked in an offside position when he converted Son's pass, but the goal was given.
Spinning on a dime in the 47th minute to embarrass Jonjoe Kenny, Son intelligently zipped the ball into Kane's path, providing Spurs the springboard from which to launch.
"When the second goal went in and if it was offside it was a killer, but that doesn't allow us to throw the towel in and relinquish that defensive responsibility".
But the Toffees were cut to ribbons four minutes later as Aurier, Son and Alli all combined with one-touch passing to set up Eriksen, who drilled a first-time shot past Pickford from Alli's deft flick.
Tottenham Hotspur's Harry Kane celebrates scoring his side's third goal of the game during the English Premier League soccer match Tottenham Hotspur versus Everton at Wembley Stadium, London, Saturday Jan. 13, 2018.
That strike equalled Teddy Sheringham's record 97 Premier League for Tottenham. I didn't expect to see it.
"This is a historical tweet from years ago so he doesn't need any reminding because all the players have already been made aware for more than this year".
Chelsea was unable to pierce Leicester's defence even after visiting left-back Ben Chilwell was sent off for a second bookable offense midway through the second half.
Cenk Tosun had a forgettable debut for Everton but if he is worth £27million - after scoring goals in Turkey - you have to wonder how much Son is worth.
DANIEL LEVY, Spurs chairman, on fending off advances from top European clubs for Harry Kane and Dele Alli, among others.
Doucoure turned the ball in with his hand as he stooped for a header but, with no video assistant referees in the Premier League, the goal stood and denied Southampton a first league win in 10 games.
He did have a rare off-day against West Ham in Spurs' last Premier League outing though, with the Hammers digging deep to get a 1-1 draw.