MUNICH, Germany, April 16 (Reuters) - Bayern ⁠Munich showed mental strength and absolute belief to come from behind three times ⁠before beating Real Madrid 4-3 to reach the Champions League semi-finals on Wednesday, ‌coach Vincent Kompany said.

Kompany, who was booked during the game and will miss their last-four first leg against holders Paris St Germain, said the Bavarians, who are chasing a treble of titles, had to dig ​deep to overcome record 15-times European champions Real 6-4 ⁠on aggregate in a classic tie.

"The ⁠boys were mentally strong today to recover from setbacks," Kompany said. "The fans helped us as ⁠well. ‌We stayed calm and always felt that our moment would come. The boys deserved this win.

"What remains for me is the total togetherness that we showed. ⁠That's what wetake from the game. We showed absolute belief ​and will to fight ‌our way back into the game."

"During the game our team has a lot ⁠of talent and ​experience to deal with these situations. After 35 seconds in this game to concedea goal, you then have to press the reset button. We stayed focused on our game," Kompany said.

Hosts Bayern trailed ⁠1-0 after 35 seconds when Arda Guler took ​advantage of a bad mistake by goalkeeper Manuel Neuer, and Real twice more took the lead to go into halftime 3-2 ahead.