Micky van de Ven Double Halts The Toffees' Run at Brand New Stadium
Micky van de Ven emerged as the initial backline player to net twice in a Premier League match for Spurs since the Belgian defender in March 2013.
At a glance
Micky Van de Ven heads home two times in first half
The home side's defender has goal disallowed after video check
Pape Matar Sarr scores third in dying moments
This loss is the Merseyside club's first at Hill Dickinson Stadium
The Tottenham defender found the net on two occasions as Spurs extended their unbeaten run in away games in the Premier League and delivered the Toffees their first defeat at their new home.
Everton were undefeated in their five previous fixtures at their recently opened stadium at the dockside location, having left Goodison Park behind after 133 years at the end of last season.
But Tottenham's leader Van de Ven pounced on two occasions from set-pieces in the opening 45 minutes to put their impressive record at risk, and they were failed to turn it around before Pape Matar Sarr - assisted by ex-Everton forward the Brazilian - headed home a third to seal the victory.
The Everton defender believed he had levelled the scores five minutes after the defender's opener, directing a bullet header past Guglielmo Vicario from an Everton corner.
Beto, meanwhile, missed a handful of chances, while Vicario made a succession of fine saves to guarantee Tottenham went five matches on the road unbeaten in the English top flight.
But the video assistant referee intervened, instructing Craig Pawson to check the goal on the screen and the official decided that the winger and Iliman Ndiaye were in offside positions and had interfered with the Spurs keeper.
The win elevates Thomas Frank's team into third place in the division, five points off north London rivals and leaders the Gunners.
The Merseyside club remain in 14th position and are half a dozen points ahead of the relegation zone.
Tottenham analysis: The defender fulfils duties at each end of the field
Following a drab midweek performance in the Champions League against Monaco, where they mustered a mere two shots on goal, Frank opted for Randal Kolo Muani up front instead of ex-Everton forward the Brazilian.
The summer signing was unable to influence the game before being substituted for the substitute after an hour on the pitch, but it turns out he wasn't needed in the end.
Defender Van de Ven converted into an offensive threat to be reckoned with.
Tottenham's first goal came from a cleverly executed corner routine, with Rodrigo Bentancur directing the ball toward the six-yard box for an free the defender to score.
And the captain - stepping up as skipper in the Argentine's unavailability - notched his next goal in added time as he outjumped the England keeper to head home.
The Dutchman was equally outstanding in defensive duties, combining well with his defensive colleague as the duo dealt excellently with the numerous deliveries thrown their way by the opposition.
Toffees breakdown: Toffees missing finishing touch
The club's recent stadium had been a fortress, but it appears the freshness may have faded slightly and fans flocked to the gates after the midfielder's third for Tottenham.
The end in the team's unbeaten home run won't be a massive concern for the manager, but their striker situation will be.
Beto and Thierno Barry - the Toffees' two recognised strikers - had netted only one league goal between them before the weekend's outing.
And they were unable to add to that miserable record on a damp and dreary night on in Liverpool.
The striker's performance was epitomized when he opted to bicycle-kick a golden opportunity from near the goal, even with having space and time to readjust for a more conventional shot that would have challenged Vicario.
Barry, too, failed to make an impact after coming on for Beto in the 65th minute.
It wasn't for a shortage of opportunity. Most of Everton's attacks came through Grealish and Ndiaye, who relentlessly delivered dangerous balls into the Tottenham penalty area.
Upcoming fixtures for these two sides?
Everton: The team head to Sunderland in the Premier League on early November at 20:00 GMT.
Tottenham: Spurs go to St James' Park on late October for their fourth-round League Cup match against Newcastle.