Real Madrid held off a determined fightback by Borussia Dortmund to secure a place in the semi-finals of the Champions League.

Real won the first leg 3-0 and should have sealed the tie, but Angel Di Maria's early penalty was saved.

From then on, the hosts took control as Marco Reus rounded Iker Casillas and then rifled in from close range to put the hosts close to forcing extra-time.

Henrikh Mkhitaryan hit the post, but Real held on to progress.

The Spanish side were overwhelming favourites to progress before kick-off, but they were second best throughout to a superb Dortmund side at Signal Iduna Park.

Real are all too aware of Dortmund's free-scoring capabilities at home, having suffered a 4-1 defeat that ultimately cost them a place in last year's Champions League final.

Robert Lewandowski scored all four of Dortmund's goals on that occasion and he returned to the German side's starting line-up for this game after missing the first leg through suspension.

But before he even had chance to make an impression, Real should have been ahead. They were awarded a penalty when full-back Lukasz Piszczek was adjudged to have handled Fabio Coentrao's cross inside the area, but Di Maria hit the resulting spot-kick straight at goalkeeper Roman Weidenfellar.

That, though, was to prove to be the visitors' only real chance of the first half as Dortmund set about staging what would have been a remarkable comeback.

They took the lead when Pepe weakly headed Piszczek's long ball out of defence short of Casillas. Reus raced in to steal possession before knocking the ball past the Real goalkeeper and slotting into the empty net.

With Cristiano Ronaldo, who injured his knee in the first leg, on the bench and Gareth Bale, Karim Benzema and Di Maria struggling to make an impression, Dortmund continued to attack a clearly rattled Real backline. Lewandowski felt he should have been awarded a penalty when he fell inside the area as he challenged for the ball with Sergio Ramos.

Real improved after the break, with Bale in particular imposing himself on the game as he twice threatened, first forcing a good save from Weidenfeller before curling a low effort just wide of the far post after breaking into the box.

However, only the woodwork prevented Dortmund from levelling the tie as Reus's smart ball slipped in Mkhitaryan, who rounded Casillas but hit the post.