- Cenk Tosun (9')
- Abdoulaye Doucouré (93')
- Matthew Olosunde (56')
However, three minutes into extra time the hosts got the decisive goal when Doucoure latched onto James Rodriguez's through ball before sliding it past goalkeeper Jamal Blackman.
With five-time FA Cup winners Everton resting top scorer Dominic Calvert-Lewin and Brazilian forward Richarlison, Turkish international Tosun was handed a rare opportunity to lead the attack and got on the scoresheet inside 10 minutes.
The visitors responded with a string of chances and were rewarded 10 minutes into the second half when Olosunde swivelled in the box before slotting the ball past keeper Robin Olsen.
Everton thought they had grabbed the winner near the end of normal time when Tosun struck in the 86th but his effort was ruled offside by VAR and it was left for Frenchman Doucoure to secure a spot in the fourth round of the competition.