Celtic suffered their fifth consecutive defeat in the Women's Champions League as Signe Bruun's double set up victory for Real Madrid.

With progression in the competition not possible, Elena Sadiku's side were playing for pride and history, in search of their first ever group-stage point.

For large parts of the first half in freezing and foggy conditions, there was confidence the priceless point could be picked up for Celtic in their final home game in Hamilton, but their hopes were dented with a class strike.

Norway international Bruun, who headed in Real Madrid's third in their reverse win, was allowed too much time to tee up a thunderous shot from outside the box to beat Kelsey Daugherty.

The Celtic goalkeeper had been beaten seconds before by Caroline Weir, but the Scotland international was denied a goal in her homeland by the offside flag.

The 29-year-old tried with all her might, but was unable to find a legitimate goal on a dominant night for Real, who had already secured qualification to the knockout phase.

Their dominance deserved to be reflected in the scoreline, and Bruun's bullet header from three yards out provided the comfort their play merited, before Alba Redondo nodded home to round off the scoring.

Pre-match, head coach Sadiku said she believed Celtic "deserved" something to show for their efforts so far, and while they added passages of positive play and creativity to that cause, they struggled to step up to the next level again.

Celtic close out their maiden group-stage campaign away to Twente on Tuesday, while Real Madrid host Chelsea, who top Group B with five wins from five.

Sadiku had hoped the sub-zero temperatures would test Madrid, but the Spanish side looked right at home in Hamilton.

At times, Colombia international Linda Caicedo looked like she was gliding on ice. Scurrying with positivity and purpose down the left, the young superstar left Celya Barclais in a spin.

And that's just one of the many world-class talents and assets manager Alberto Toril has at his disposal.

While Weir was still here, there and everywhere, she was tightly marked by fellow Scotland international Shannon McGregor, who once more caught the eye in this competition.

As did Celtic as a whole, but only in glimpses. For their bright moments were quickly evaporated with swarms of Real Madrid attacks.

On matchday one against Twente, the takeaway was that small margins matter. The memo remains.

With a trip to the Netherlands to come next week, it would be harsh for a side who have had their sparks to sit on zero points.

But this level is harsh, and Celtic are learning that the hard way.

Celtic head coach Elena Sadiku: "It's easy to say we're proud and we're learning and we're growing, but the girls deserve something more than that.

"Real Madrid had four shots on target and scored three goals, so I'm frustrated. They deserved to win, but the last two goals we conceded were easy goals and I think we can defend better.

"We will go to Twente on Tuesday all in for the win."

Real Madrid midfielder Caroline Weir: "I've been really impressed with Celtic. They're well organised, have a clear idea of how thy want to play and they have good players as well.

"It's so cool to have a Scottish team in the Champions League, it really puts Scotland on the map. I was buzzing for them when they qualified and I really wanted them in the draw.

"As a young kid growing up, I would have loved to come watch Celtic v Real Madrid, so to be part of it is amazing for me, my family and women's sport in Scotland."