On the one hand, his side maintained their five-point advantage at the top of the Bundesliga, yet they had spurned chances to extend that to eight points. All in all, though, coming away from the SIGNAL IDUNA PARK with a point is nothing to be ashamed of.
"I'm not the kind of person who is happy with a 0-0 draw. It's acceptable and fine given the situation, but it's not the result I came to Dortmund for," Müller said. " It's not easy for anybody to play in Dortmund, in front of such a crowd, but we showed what we're all about. We went pretty close to our limit and it was a very intense game."
It was every bit Der Klassiker that it was built up to be. With Dortmund edging to within five points of the once runaway league leaders in midweek, the stakes could hardly have been any higher. "Apart from goals, this game had everything," said Bayern goalkeeper Manuel Neuer. "It was an advert for the Bundesliga which was seen all around the world."
It was some of the best German football has to offer. "Everybody knows that Dortmund can also play football; that they aren't just good on the counterattack," Müller acknowledged. "That's why they didn't surprise me. But it wasn't as if they were up against Easter bunnies – they were playing FC Bayern, and we're in good shape.
"I think we deserved to win it, but it was an intensive game and nobody goes home after this draw saying it was totally unfair. I was on the pitch so I didn't see what it looked like from the outside, but it definitely didn't feel like a boring 0-0 draw."
It also means the race for the title is anything but a yawn. Bayern remain in pole position for a record fourth straight title, but that black-and-yellow wagon is vividly clear in the rear-view mirrors. "We're still five points clear, but there's still a long way to go," Müller said. "This was just a step on the way to the title.
"We've got to keep this up in our coming games. Dortmund haven't lost yet in the second half of the season, so we've got a really strong rival in the race for the title this year."
Bayern knew that before the 90 minutes on Saturday, and they were reminded of it during an intensely-fought battle. "Of course we were under pressure, having seen our cushion deflate right before such a big game, and that makes me even happier with the way we played – with no fear, with plenty of confidence and attacking aggression," Müller, who missed an early chance to open the scoring, explained.
"We didn't let the situation unnerve us and this gives me the confidence in view of our coming games to say that we can win them."