The midfielder believes Spurs were good enough for all three points in Saturday's 0-0 draw.
Spurs are still looking for their first win of the season having lost their opening game to Manchester United and drawn their other three - with the 0-0 stalemate at home to Everton the latest in that run.
It was a disappointing result for Mauricio Pochettino’s side after they had a number of chances to win the game but found goalkeeper Tim Howard in fine form, and Alli says they left frustrated and feeling they had dominated the game.
“It feels like we dominated the game,” he told tottenhamhotspur.com.
“You obviously want to win the match and when it’s that close and you know you’re in control you can get a bit frustrated. The tackles were going in from both sets of players but that’s just the desire to win the game.”
A problem for Spurs so far this season has been their lack of cutting edge, with the Everton game another in which they have failed to take advantage despite dominating.
That failure to secure victory was also present in the previous 2-2 draw with Stoke City, again at home, in which they had led 2-0 but threw away their lead in the second half.
A positive, though, is that they are creating chances and Alli insists that on another day they would have beaten Roberto Martinez’s side.
“It’s just one of those things – on another day we’d have won the game comfortably,” he added.
“We all know that to win you need to be clinical and I feel like we had more than enough chances to put the game to bed. The fans were unbelievable and they helped us, but unfortunately we couldn’t get that goal to win the game.”