Salah scored Liverpool’s third goal in the 68th minute.
It’s sure to be a massive kick in the teeth for Arsenal, but with a healthy six point lead ahead of second-placed Manchester City who are ferociously coming for the Gunners.
Arsenal have gone five points clear off the top of the Premier League table following an emphatic 4-0 win over Everton at the Emirates Stadium.
Liverpool defeated Ajax 2-1 at Anfield to record their first victory in the competition.
The Reds moved to bolster their midfield options on transfer deadline day with the acquisition of the 26-year-old Arthur Melo.
“It is not easy because we have 15 senior outfield players, I think, in training. That’s obviously not cool.”
Switzerland remain bottom on three points.
The game between both teams was the first time the FA Cup final would go to extra time without a goal since 2007.
Liverpool now progress to yet another cup final this season having already won the League Cup earlier in the year and booked a place at Wembley for the FA Cup final.
“I had the feeling that with this result, we missed an opportunity, a feeling we left them alive,” said the Manchester City boss.