This was a frustating defeat as the Blues created enough chances to at least get a point and had a goal disallowed for dubious reasons yet again.
That 'goal' was scored by Dominic Calvert-Lewin who thought he had ended his nine game drought only for it to be ruled out for an alledged foul by Andre Gomes.
Gomes himself had come on early in the first half and performed very well and it was he who did finally find the back of the net for Everton's consolation goal.
Having the Portuguese playmaker back could well be a significant and unexpected bonus if he can keeps doing this well, particularly given the injury problems Sean Dyche has.
It was though another player who had once been a key part of the Toffees squad who opened the scoring, for the hosts.
Richarlison's tenth minute strike was his first against his former club and gave Spurs an early advantage in what was to turn into an open and entertaining contest.
Then a player who has always been a thorn in the Blues' side added a second as Son Heung-min scored twenty-five minutes in.
After half-time Everton reacted strongly and were the better team creating further chances with James Garner going closest, although with Jordan Pickford also needed to keep out an effort from the home side
Another substitute Arnaut Danjuma also came very close but Gomes' late goal was the only reward for their efforts and it was not enough in the end.
So, the recent winning streak is over and with other results, both Luton Town and Burnley winning, it has not been a good day for the Toffees.
And it doesn't get any easier for Everton as the next opponents are champions Manchester City at Goodison Park, although they are coming back from a long trip to play in the Club World Cup.