The Magpies' had the first chance of the game and, came closet breaking the deadlock in the first half after Lee Worgan denied Enzio Boldewijn and Kyle Wootton with a double save to keep the terms level.
Michael Doyle managed to find Wes Thomas, who had an effort on goal but the Dover keeper Worgan was equal to it.
Dover then threatened Notts themselves, with their highest goal scorer Inih Effiong wasting their best chance after he cut inside the area but placed the ball way off target.
After 9 minutes of added time, neither team could break the deadlock and had to settle with a draw as the outcome.
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