It's all even at the break after Sadio Mane's delightful goal was cancelled out by a Joel Matip own goal in the first-half.
Mane put Jurgen Klopp's side ahead in the 26th minute after superbly controlling a Virgil van Dijk long ball.
His turn duped Bayern goalkeeper Manuel Neuer as the Senegal international cleverly dinked the ball in to the back of the net.
Watch: Sadio Mane puts Reds ahead
The home side pulled one back against the run of play as Matip could only turn Serge Gnabry's low crass into his own net.
Watch: Joel Matip's own-goal
Liverpool will need to respond after Bayern finished the second-half the superior side.
The result as it stands is enough for Liverpool to advance to the quarter-finals, with a score-draw enough for the Reds on the night.
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