The defender saw the positives in Champions League elimination at the hands of Real Madrid and admitted his thoughts are conflicted after a 2-0 victory over Carlo Ancelotti's side
The Schwarzgelben put up an impressive fight at Signal Iduna Park after going into the game 3-0 down from the first leg, but their valiant performance was not enough to see them into the last four for a second consecutive season.
Carlo Ancelotti's side got their revenge over Jurgen Klopp's men after BVB knocked out Los Blancos in the semi-finals a year ago, but Hummels was proud of the performance and says it shows how good the team can be when faced with a great challenge.
"I am conflicted," the centre-back told reporters after the match. "We showed an evening that people won't forget quickly.
"We had several great chances in the second half. We could have produced one of the biggest sensations in football - now it was just an awesome evening.
"The team prove every year, again, what we have to offer. The fans were so noisy we couldn't hear each other."
Madrid goalkeeper and captain Iker Casillas admitted his side made a number of errors, but was relieved they came in a tie in which his side had the benefit of a three-goal cushion.
"We suffered more than we should have," the Spain international told reporters after the game. "The goals were from our mistakes. At 2-0 down and with a missed penalty a lot goes through your head.
"We can't make errors like that in the semi-finals. Maybe it's good for us to get a wake-up call like that from time to time. It's better that it came tonight."
Bayern Munich have already wrapped up the Bundesliga title race, but Dortmund can still win silverware if they make it through the semi-final stage of the DFB-Pokal.