Jurgen Klopp’s side looked to be easing towards a comfortable Premier League win after Brazil international Philippe Coutinho broke the deadlock in the first half.
Liverpool striker Daniel Sturridge doubled the away side’s lead before Joe Allen had a goal ruled out through offside.
Sadio Mane missed a penalty early in the second half before the Senegal international halved the deficit with a good finish.
Graziano Pelle curled a finish past Simon Mignolet to level in the 83rd minute before Mane completed the comeback win with four minutes remaining.
Skrtel replaced Dejan Lovren at half-time with Liverpool 2-0 up and the Slovakia international made a forgettable return from a hamstring injury.
Former Liverpool striker Aldridge didn’t appear to impressed with the 31-year-old’s performance at St Mary’s.
Disaster,what was skrtel doing for all their goals????
— John Aldridge (@Realaldo474) March 20, 2016
Liverpool host title contenders Tottenham Hotspur in their next Premier League game at Anfield on Saturday 2 April.
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