Crystal Palace had been set to drop into the bottom three on goal difference prior to Chelsea's comeback. The Blues have only won three of their last eleven matches and are languishing in the fifth spot in the table.
Giroud netted on either side of a goal from Eden Hazard.
A draw against West Ham in their previous match was nothing to be enthusiastic about although Hazard was a standout performer in that game.
Mohamed Salah took his tally for a remarkable debut season at Liverpool to 40 goals as Jurgen Klopp's men suffered no after effects from their efforts in reaching the Champions League semi-finals in midweek with a routine 3-0 win over Bournemouth. The player must play every game not for me, but for the club and for the fans.
After goals from Dusan Tadic and Jan Bednarek put Southampton 2-0 ahead by the 60th minute, Giroud headed in Marcos Alonso's cross to start the fightback in the 70th nine minutes after coming on for the ineffective Alvaro Morata. If I play good, but we are not winning, I am not happy. I don't like stats. If I can assist, I assist.
"As you know very well with the speculation, always there is speculation around our position, not only for me, but for a lot of coaches".
It has been a hard few weeks for the west London side, who have struggled to produce consistent performances under Antonio Conte in all competitions.
Conte's willingness to criticise Chelsea's transfer policy has not helped his situation and he seems destined to leave when the season ends. "It would have been huge", Langley said on Chelsea TV.
It looks increasingly likely that the Blues will miss out on a top four finish and have to settle for a place in the Europa League for next season. "No regrets, let's play one month".
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