The week of epic comebacks continues with Chelsea being the latest to join the list.
Giroud was the star of Chelsea's comeback, providing clinical finishes for their first and third goals and helping to create the equaliser for Hazard.
The Blues' frailties at the back did not take long to rear its ugly head, however, as 20 minutes of peppering the visitors' area finally reaped its rewards for the home side.
Chelsea manager Antonio Conte said his player rediscovered the "fire in their eyes" at Southampton.
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While Southampton were intense on the ball, Chelsea closed the half lucky to still have ten men on the field.
Less positive news for Chelsea is the fact that Marcos Alonso could face a Football Association charge for a stamp on Shane Long that went unseen and unpunished by referee Mike Dean shortly before half-time. Debutant Jan Bednarek volleyed home from an exceptional James Ward-Prowse free kick to double the home side's advantage.
The striker had positioned himself perfectly between Southampton's centre-halves to nod Alonso's delivery into the near corner beyond a helpless Alex McCarthy in the 70th minute.
Less than five minutes later, Chelsea were level.
At half time, as Chelsea stumbled in 1-0 down to struggling Southampton, it was tempting to wonder whether Antonio Conte would make it to the Wembley when his side meet Southampton again in the FA Cup semifinal later this month.