Real Madrid left the Bernabéu beaten but far from broken, clinging to the lifeline provided by Kylian Mbappé in a 2-1 defeat to Bayern Munich that felt as much like a warning as a setback.

For long stretches of the quarterfinal first leg, Bayern looked every inch the ruthless European machine. Luis Díaz silenced the home crowd with a sharp finish four minutes before half-time, punishing Madrid’s hesitation in midfield. Any hopes of a measured response after the interval were shattered almost instantly when Harry Kane struck just 20 seconds into the second half, capitalising on another Madrid lapse in possession.

At 2-0 down, the Bernabéu’s anxiety was palpable. Madrid’s passing grew rushed, their defensive line ragged. Bayern pressed high, sensing the chance to all but kill the tie. Yet this is a competition, and a stadium, where Madrid have made a habit of surviving nights that should have buried them.

The turning point arrived through the player under the brightest spotlight. Mbappé, criticised in recent weeks after an injury layoff and a damaging league defeat at Mallorca, found the space he had been searching for all evening. His movement unsettled Bayern’s back line, and when the chance came he finished with the cold precision that has made him the Champions League’s leading scorer this season, taking his tally to 14.

The goal transformed the mood. What had looked like a looming crisis became a manageable deficit. On the touchline, coach Álvaro Arbeloa knew exactly what it meant.

“We’re still alive, that’s clear,” he said afterwards. “We’re just one goal behind. We’re capable of winning anywhere. A 0-2 deficit would have been very difficult to overcome. One goal keeps us in the tie, and Madrid can win anywhere.”

Arbeloa was quick to defend his star forward. “To me Mbappé looked very committed. He caused them problems. He showed why he’s the best player in the world, a constant threat for the defence, and that’s the Mbappé we want to see.”

Madrid will travel to Munich knowing they must score and must do so without suspended midfielder Aurélien Tchouaméni. Arbeloa called his absence “an important loss” but insisted the belief remains intact.

“The goal gave us hope,” he said. “It won’t be easy, but if any team can win in Munich, it’s Real Madrid.”