Liverpool fielded a young, inexperienced side in Moscow and went down 1-0, the goal arriving just before half-time from Lacina Traore, and whilst the Reds enjoyed periods of possession they rarely looked like salvaging a point against Anzhi Makhachkala.
Reigning Europa League champions Atletico Madrid suffered a surprise 2-0 defeat to Group B rivals Academica in Portugal.
A goal in each half from Wilson Eduardo gave Academica victory and denied the Spaniards the victory needed to guarantee progression to the last 32.
Jordan Ayew looked to have sealed the game for Marseille until Juan Arango equalised in the third minute of stoppage time.
Newcastle failed to grab the win they needed to guarantee qualification from Group D but did fightback from two goals down to draw 2-2, all the goals arriving in the first half.
Bordeaux stay second after David Bellion's 16th minute goal proved enough for them to see off Maritimo 1-0 in France.
Edison Cavani scored all four as Napoli beat Group F leaders Dnipro Dnipropetrovsk 4-2 in Italy, but the visitor’s remain top.
Tottenham had a comfortable 3-1 home success over Maribor, Jermaine Defoe hitting a hat-trick.
A poor piece of defending from Kyle Naughton and Hugo Lloris allowed Robert Beric to level against the run of play just before half-time, but Spurs continued to dominate after the break to claim the three points.