Bayern had taken a two-goal lead thanks to Robert Lewandowski (PG 33) and Arjen Robben (42).
But Maximilian Arnold (56) and Daniel Didavi were both on target after the break to secure a share of the spoils.
After the match, Schmidt told the club’s official website: “When you are 0-2 down and come out with a point, then you know you will be returning home satisfied.
“But I think my players in the changing room are even more satisfied and prouder than I am.”
He added: “It’s also important for me to say that tonight’s performance, particularly the mentality and determination we showed in the second-half, is not just down to me, but also thanks to the work done by my predecessor Andries Jonker.
“He conditioned the team and was in charge of training until just a couple of days ago. You can see that the basis is there and there are two or three screws which I have been able to turn.
“I got into their heads and encouraged them. At the break I switched to a two-man attack and dissolved the double defensive-midfield.”
A proud Schmidt concluded: “We’ve taken two points this week, although our minimal target was three. We’ll take the two we have though.”