Barkley has yet to play this season due to a hamstring injury and had been widely expected to leave Goodison Park, with Sam Allardyce resigned to losing the Englishman.
The move to the English champions offers a new challenge for a player who has struggled to live up to the high expectations that greeted his arrival in the Everton first team.
However, Barkley said this evening that he was "overwhelmed" by the chance to move to the champions, where he will wear the No 8 shirt.
"He has this great opportunity to play in a great club, with ambition and great targets, and also to put yourself in this new challenge".
Barkley said he wanted to get fit and then reassess his future in this transfer window.
Barkley scored five goals and recorded eight assists in the Premier League last season as Everton finished seventh in the table. There is hope that Barkley will add versatility in the squad in central midfield, as a No.10 or as a wide player in the front 3, making him the flawless player to fit in Conte's 3-4-3 and 3-5-2 formations.
Conte is desperate to reinforce a squad that has left him 16 points behind Manchester City in the Premier League.
Conte urged caution over expectations for Barkley.
"I think sometimes when you are at your home club, you can be there too long and you have to learn the different levels of the game". He's a good prospect. I think the club decided for this investment also for his contract.
"He's a good prospect but it's very important to understand when he can recover from his injury".
This is not necessarily a bad thing for Tottenham, however, what with Barkley's less than impressive injury record, and his inconsistent form over the past couple of years. We welcome him to the club and look forward to seeing him in action'.