The result leaves it all to play for in the second leg in Munich on March 13, although the German side will be without defender Joshua Kimmich who will be suspended after picking up a yellow card.
There were few clear-cut chances in the game although Liverpool created several openings in the first half, while at the other end their goalkeeper Alisson Becker had to be alert to keep out a mis-hit clearance from Joel Matip.
The closest Juergen Klopp's side came in the second half was a diving header from Sadio Mane in the 86th minute which Manuel Neuer pushed around the post.