A stirring first half display saw Christian Ziege score a free-kick that will long be remembered in derby folklore, Dean Richards and Robbie Keane have efforts cleared off the line and the foot of David Seaman block a goalbound free-kick.
Even when Arsenal came more into the game during the second period it was Spurs who carried the goal threat and Seaman was again called on to deny Keane on two occasions.
"It is a day to say how proud I am of the way the team played," purred Glenn, who feels a handsome win would have done wonders for the self-belief of the side.
"I can't tell you how frustrated I feel though. To play so well against such a good side and not to win it. The chances we created and the luck they had in the six yard box - we could have won that game.
"If we could have won it by three or four it would have put us mentally in a different bracket. The belief around the place would have been great."
The boss says the team must still take that belief from the game all the same and insists that they have now set a standard of performance that must be matched in the games to come.
"We mustn't not think that way because we didn't get the win. I think it's important that the players realise it. We need to get closer to that performance consistently.
"It's got to be the standard now, they've set themselves a little bit of a challenge. If we get close to that against lesser sides then I think it will be enough to beat them."
Glenn Hoddle could not conceal his pride at the way the team performed against Arsenal on Sunday - his only frustration being that the team did not collect a much-deserved three points.