Everton manager David Moyes felt his side were well in the game at White Hart Lane until Benoit Assou-Ekotto's killer second goal on the hour.
Goals in either half from Aaron Lennon and then Cameroonian defender Assou-Ekotto did the trick for the North London outfit at White Hart Lane.
Lennon's pace troubled the Everton defence before his low shot wrong footed Tim Howard. Assou-Ekotto's thunderbolt on the hour sealed the deal.
The Blues were competitive in the first half and Louis Saha twice went close to opening the scoring.
And Moyes said: "I thought we played well tonight. I thought if we had a little bit more, if we had somebody who could score a goal like Assou-Ekotto's then we'd have had a rousing finish here tonight.
"If it wasn't for that goal we were really in the game."