Liverpool secured top spot in Group B thanks to a dull goalless draw at Sion, a result that sends the Swiss side into the last 32 of the Europa League.
Divock Origi missed a chance to open the scoring early on when he tried to volley in a cross when meeting it with a header may have been a better option.
Neither team were able to create a clear opening in front of goal in a match that lacked tempo, although the atmosphere at the sold out 10,000-capacity Stade de Tourbillon was buoyant.
A draw suited both sides, with Sion needing a point to ensure qualification for the next round and the same result guaranteed Liverpool finished top of Group B, with Jurgen Klopp's men having already sealed their place in the knockout stages prior to Thursday's match.
With the game played at a glacial pace, both sides were restricted to efforts from range, Origi's swirling drive going wide before Edimilson Fernandes turned down better options to fire off target.
Liverpool were looking to bounce back from a 2-0 defeat to Newcastle United on Sunday, only the second defeat of Klopp's reign, and Origi found space in the box two minutes after the break. However, James Milner could only divert the cross into the arms of goalkeeper Andris Vanins.
On a partially icy pitch, players from both sides struggled for control on the bobbly surface and it seemed inevitable the match would end without a goal, or indeed a save of note from either goalkeeper.
