Bayern Munich's Alphonso Davies snatched a last-gasp equaliser against Celtic for a 1-1 draw on Tuesday to advance to the Champions League Round of 16 with a 3-2 aggregate win.

They will next face either Bayer Leverkusen or Atlético Madrid depending on Friday's draw.

Davies scored in stoppage time after former Bayern reserve player Nicolas Kuhn had given the Scots a shock lead in the 63rd minute in their bid to overturn a first leg deficit and win a first game in Germany in 16 attempts.

Having lost the first leg 2-1 in Glasgow, Celtic came agonisingly close to forcing extra time with a bold performance that had the hosts on the backfoot for much of the game.

"If you watched the first leg, I don't think it was surprising," said Bayern midfielder Leon Goretzka. "Of course we could have made it easier for ourselves by not conceding a goal.

"We have played three games in six days now and it was all about getting results, which we did and we're happy about that."

With the Bavarians made to sweat from the start, Celtic's Kuehn saw a shot cleared on the line by Raphaël Guerreiro in the 16th minute before Daizen Maeda narrowly missed connecting with an Arne Engels cross in front of goal a little later.

Bayern, who drew 0-0 at reigning German champions Bayer Leverkusen on Saturday, had to wait until the stroke of half-time for their own opportunity, striker Harry Kane hitting the woodwork with a shot.

The England captain, who made little other impact and was also nursing a knock to the head from the Leverkusen game, was taken off at the break. Bayern came close again seconds after the restart with Goretzka failing to beat keeper Kasper Schmeichel in a one-on-one.

It was Celtic, however, who broke the deadlock with a deserved goal when Kuhn slotted home following two defensive errors by the hosts to put Brendan Rodgers' team in the driving seat.

Bayern upped the tempo and came close with Goretzka and Leroy Sané before Schmeichel pulled off another superb save to deny Joshua Kimmich.

The keeper did everything right to stop Goretzka's effort in front of goal in stoppage time but could do nothing when Davies tackled the ball over the line on the rebound for the equaliser that sent the Germans through to the knockout stage.

"It was just such a cruel way to not even lose the game but to go out of the competition," said Rodgers. "A real heroic performance, just unfortunate at the end.

"I think our European credibility has been restored this season, I think we built that up from last year, that's my takeaway from this season."