Juergen Klopp's side remain seventh, six points behind the Champions League places, after only their second defeat in the 12 games since the German took over in October
Chelsea fans may have Ronaldinho and David Beckham to thank as they celebrate midfielder Willian slotting home free-kicks.
Images from Sunday's action in the Premier League.
A weekend of surprise results across Europe's big leagues saw Bayern Munich's unbeaten run come to an end, Napoli knocked off top spot in Serie A and Manchester City toppled in the Premier League where Leicester City are the new leaders.