It was a result - courtesy of a stoppage-time effort from captain William Gallas, who had earlier scored an own goal into the same net - which not only extended their unbeaten record to 25 successive games, but also denied United the chance to pull clear at the top of the table.
"Everyone could see that we are a team which fights until the last second," Fabregas declared. "Even if they score, we have to show our qualities, which are to play football, try to create chances and that's what we did until the last second.
"We don't give up and we are very strong physically.
"We can run until the last second of the game. With other teams, maybe they can't follow it until the end.
"Our opponents are always strong, but we always feel there will be one point where they can't stay with you and that is when we can score."
There are, of course, sure to be plenty of twists and turns ahead as the campaign unfolds.
However, it has certainly been a positive start from Wenger's side, whose last trophy was the FA Cup in 2005.
"The title race is still very far, but this point is good," said Fabregas, 20.
"Losing the game would have left them three points in front. So to stay top with an extra game is very good.
"But now we have to beat all of the teams that come here and also away from home.
"When you go to places like Liverpool, Stamford Bridge or Old Trafford, you have to try to win those games as well."