(CNN) Roberto Firmino's eye for a goal enabled last season's beaten finalists Liverpool to win the first heavyweight clash of this season's Champions League as the Brazilian came off the bench to score a last-gasp winner in a thrilling 3-2 victory over Paris Saint-Germain.

In front of a raucous Anfield crowd basking in their side's stellar start to the new season -- Liverpool have won all five of their English Premier League games -- Jurgen Klopp's team led 2-1 late into the match until French World Cup hero Kylian Mbappe equalized after a clever pass from Neymar.

It was PSG's first shot on target in the second half, but Brazilian Firmino, on the bench after sustaining a nasty eye injury in Saturday's 2-1 league win over Tottenham Hotspur, rifled home a right foot shot in injury time.

It was thoroughly deserved as despite the close scoreline, PSG's much-vaunted trio of Mbappe, Neymar and Edinson Cavani struggled to make an impression.

Daniel Sturridge, almost the forgotten man at Liverpool, took advantage of a rare start in place of Firmino to open the scoring with a bullet header as the home side dominated the early play.

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