Romelu Lukaku’s strike in added time saved Everton’s FA Cup lives as they ended a four match losing streak.
It was a sweet moment for the Toffees who were on top for the majority of the match but found themselves behind 11 minutes into the second half when James Collins powerfully headed in Morgan Amalfitano’s corner.
Everton and West Ham will now need to play a reply to decipher who will face the victors of Doncaster Rovers and Bristol City, who also drew 1-1, in the next round.
It was a game of few chances in a night but the hosts were the better side with Ross Barkley playing in record signing Romelu Lukaku with 26 minutes played, but the big Belgian took one touch too many as he shot wide, off balance, from the edge of the penalty area.
They knocked on the door again a minute later, again with no reply, as Scot Steven Naismith fired a shot across the face of goal as a result of a neat chipped through ball by Lukaku.
West Ham created an early chance of their own when Stewart Downing had a long range shot tipped over the bar by Joel Robles, who continued in goal due to regular goalkeeper Tim Howard’s calf injury.
Everton finished proceedings with a late surge and, shortly before Lukaku’s dramatic equaliser, Barkley forced a smart stop from Spaniard Adrian with an effort from a tight angle.
The replay will be played on either Tuesday or Wednesday next week.