Borussia Dortmund defender Matt Hummels has rued his side's missed chances against Real Madrid in the Champions League quarter-finals. The German claims he was “conflicted” and that his side had the chance to produce one of the “biggest sensations in football” but exit the competition with just an awesome night.

Borussia Dortmund played Real Madrid in the Signal Iduna Park on Tuesday night for the second leg game of the quarter-finals match-up. Die Schwarzgelben were 3-0 down on aggregate and needed a win by the same amount, at the very least, to stand a chance of qualifying for the semis and after two first half goals from Marco Reus, it started to look like a possibe scenario. However, they failed to add the third and thus bowed out of Europe's elite league.

UEFA Champions League, Borussia Dortmund, Arsenal, Matt Hummels

"I am conflicted," Matt Hummels told reporters after the game. "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.”

BVB's Marco Reus scored a quick brace, giving his side hope of a comeback

UEFA Champions League, Borussia Dortmund, Real Madrid, Robert Lewandovski, Marco Reus

However, it never happened and Die Schwarzgelben exited the Champions League

UEFA Champions League, Borussia Dortmund, Real MAdrid, Jurgen Klopp, Roman Weidenfeller, Pierre-Emerick Aubameyang

BVB missed many chances to score with Mkhitaryan (below) wasting many great opportunities

UEFA Champions League, Borussia Dortmund, Real Madrid, Henrikh Mkhitaryan, Jurgen Klopp

Real Madrid were relieved to have made it into the semis after BVB put in a fighting display

UEFA Champions League, Real Madrid, Borussia Dortmund, Diego Lopez, Karim Benzema, Cristiano Ronaldo, Carlo Ancelotti

Dortmund bow out of the Champions League with a 3-2 loss (on aggregate) to Real Madrid

UEFA Champions League, Borussia Dortmund, Real MAdrid, Matt Hummels, Nuri Sahin, Robert Lewandovski, Henrik Mikhtiriyan

Henrikh Mkhitaryan

The defender did hail the team and their devoted fans for their display though, saying: "The team prove every year, again, what we have to offer. The fans were so noisy we couldn't hear each other."

Hummels still hailed his side's display and the support they received from the home fans

UEFA Champions League, Borussia Dortmund, Real Madrid