The players did a lap of honor around the pitch after the final whistle, applauding their fans for the ear-splitting support they had provided throughout, and those in the stands returned the gesture, appreciative of their side's endeavor.
"The fans believed we could do it and there was an unbelievable atmosphere in the stadium,” said captain Philipp Lahm. “I’ve rarely experienced anything like that, it was simply sensational. We always believed in ourselves and in the possibility of achieving the miracle. We didn't lose the tie here but in the first leg."
The Bundesliga champions put in a muscular display at the Allianz Arena and deservedly went ahead through Medhi Benatia's seventh minute header. They created a number of other clear-cut chances to add to their lead, but after failing to convert them, two goals from Barcelona attacker Neymar before the break left Bayern needing to score five after the interval.
Rode: 'Many teams would’ve given up'
"We put up a good fight in the second half and managed to win the game," said Sebastian Rode. "There are mixed feelings in the dressing room now. We're annoyed we didn't score one or two more in the first half given the chances we had.
"There are teams who would've given up knowing they needed five goals in the second half but we kept fighting, kept attacking and the supporters respected our effort. Their reaction showed we can leave with our heads held high."
Indeed, such was Bayern's pressure that Barcelona struggled to make it out of their own half on the second period, with Pep Guardiola's charges having 53.3 per cent of possession against a side renowned for depriving their opponents of the ball. Two excellent goals from the edge of the area from Robert Lewandowski and Thomas Müller sparked a glimmer of hope in the closing stages, but ultimately the Catalans' resolute defending was enough to see them over the line.
And while it was certainly a disappointing end to Bayern's European campaign, there will be an upbeat end to the season in ten days' time, when the champions receive the Bundesliga championship plate. And after that, according to Guardiola, it'll be "time for a holiday, before starting preparations for 2015/16."
Jonathan Stockitt reporting from the Allianz Arena