Emmanuel Adebayor netted the opening goal at White Hart Lane, before PhiL Jagielka’s header levelled the scores.
Kevin Mirallas then put the Toffees ahead after 53 minutes, with a fine run and finish.
But, Gylfi Sigurdsson made it 2-2 with just minutes to play, tapping home after Adebayor’s effort had hit the post.
The result leaves Everton six points adrift of the Champions League spots, but Moyes believes that there is still time to mount a challenge for a spot in Europe’s top club competition next season:
“I don’t know if a point does a great deal for us. If we’d won we’d have been right in it.” He told Sky Sports.
“I don’t think we’re too far away but I just hope the games don’t run out. Tottenham are one of the top teams who have been fighting for fourth all season and we have taken four points off them this season so it is not a bad return.”
Adebayor opened the scoring after just 40 seconds, immediately pouting the travelling side on the back foot.
Moyes was happy with the way his team responded, praising their character and determination:
“When you concede after 20 or 30 seconds it’s all credit to the players for coming back.
“Tottenham had their tails up but thankfully we kept going and kept at it and played our way out of trouble and got ourselves a few chances.”
Everton’s next three Premier League games see them host relegation threated QPR before travelling to Arsenal and Sunderland.
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