However, it did not take long for Tottenham to change that statistic and, on 47 minutes, Kane tapped home after smart work by Son on the left.
As well as Son and Kane, Alli also proved a constant pain to the Everton midfield and defence.
The South Korea star was just happy to have a full-time role this season, saying: "I love playing now". After some lovely passing from Spurs the Dane smashed the ball beyond a helpless Jordan Pickford, having also produced a fine performance. This means he is scoring a goal in less than every three games - the benchmark for all top strikers.
Plane skids off runway and dangles over a cliff
A passenger plane skidded off a runway and down the side of a cliff at an airport in northern Turkey . Trabzon Governor Yucel Yavuz said a crisis desk had been set up after the accident.
Although the arrival of Turkish striker Cenk Tosun may yet revitalise Everton's as yet failed effort to replace Romelu Lukaku, Allardyce is keen to shift the blame as far from himself as possible. At least £60m, surely. They can cement that with a win at the home of the England senior team, who Allardyce managed for one game but never at Wembley.
The only other player to have done that is Jermain Defoe until yesterday. "Yet, today is not important because there are a lot of games to play".
Sumpter's model knows the huge x-factor that determines which side of Tottenham-Everton you need to be all over, and he's only sharing it over at SportsLine. Thanks for tuning into our coverage of Spurs vs Everton.
Rafa Benitez locked in transfer stand-off with Mike Ashley
He (Ashley) knows he has to improve the team so that we have the quality which allows us to stay in the Premier League . I have heard people talking about our players, but we do not have any offers.
Apart from Wayne Rooney having a header ruled out for offside, at no stage did they ever look capable of doing something.
Southampton drew 2-2 at Watford after taking a 2-0 lead but Abdoulaye Doucoure sent the ball into the net with his right hand to score Watford's equaliser in the 90th minute. Although it was off target, it was turned in expertly by Son. They certainly have the squad to do so, and in the kind of form both teams are in, it shouldn't be too hard for Tottenham to win this match with a convincing margin. Holgate backed off and Son's shot was turned in by Kane.
Christian Eriksen, meanwhile, one of the club's most talented assets, is set to be offered a new deal in a bid to fend off interest from clubs overseas. Son then assisted Kane with a superb cross which was convincingly converted by Kane who made an excellent run forward to put it past the opponent keeper. Five players were involved in the build-up, but it was a superb back heel from Alli at the edge of the box that found Eriksen on the left, before he powered home to seal a superb Spurs victory.
Prez greets nation on eve of Lohri, Makar Sankranti, Pongal
The festival marks the onset of summer and an auspicious six months period for Hindus known as Uttaarayan. The first day when the sun transit into the Makara or Capricorn marks the occasion of Makar Sankranti .