Leighton Baines gave the Goodison Park hosts a deserved lead in the first half, with the scoreline standing at 1-0 at the interval.
However, Demba Ba took only four minutes of the second half to get his side level, before Victor Anichebe looked to have stole victory for the Toffees with a 88th minute goal.
Staring defeat in the face, Ba struck once more in the dying seconds to ensure the visitors returned to Tyneside with a point.
Pardew hailed his side’s performance in the second half, and singled out his goalscoring hero for particular praise.
“I was proud of the second half because we were terrific, but the first half we lacked belief and I was shocked at how we played,” he told Sky Sports.
“Not many teams would come back and respond in the way we did so all credit to the players.
“Demba definitely changed the face of the game and gave us the mentality that we could win the game, and in the second half we gave a good account of ourselves.
“We have got great spirit and that could be a massive, massive result for us,” he confessed.
By Gareth McKnight