The English champions fought back from 2-0 down on the night but could not find a winner.
They are now struggling to even qualify for the Europa League last 32.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.