But Gylfi Sigurdsson came up with an 87th minute equaliser which allowed Spurs to stay fourth on the table, two points clear of fifth-placed Arsenal, and although it wasn't the exact result the club wanted, Villas-Boas was content.
"I don't think we relaxed," he said.
"You give Everton a small amount of space and they punish you.
"It was an entertaining game of football.
"I think it was a good performance by the team, individually and collectively, although it was not the result that we wanted."