Chris Brunt's second-half penalty double enabled West Brom to win 2-1 in the battle of Liverpool managers past and present at the Hawthorns.
Current Reds manager Kenny Dalglish saw Martin Skrtel head his side in front five minutes into the second half.
But his predecessor Roy Hodgson was indebted to Brunt initially levelling matters from the spot and scoring the 88th minute winner.
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