In an even first half an hour both sides somewhat cancelled each other out with neither team able to force the goalkeepers into action.
That though changed when former Claret, Ricky Modeste, opened the scoring in the 37th minute. The striker was first to a near post corner which was flicked on by Modeste, nestling in the bottom corner to break the deadlock.
Chelmsford wasted little time in the second half levelling matters when a free kick wide on the left from Robbie Willmott was bundled in at the far post by Mark Haines just four minutes into the second half.
From then on it was all City as they dominated the rest of the second half, creating a number of opportunities in front of goal.
Just two minutes after equalising Billy Bricknell put one just wide on the spin, before Hugo Skepelhorn forced goalkeeper Mitch Walker into a save after he was played in by Chris Bush.
Bricknell then managed to stay onside to create a 2-on-1 attack on the Dover backline. He played the ball across the face of goal towards Max Cornhill but his effort at a Cruyff-flick was saved at the near post by Walker.
From the resulting corner Shamir Mullings blazed a shot over at the far post from close range and Chelmsford did have the ball in the back of the net again, only for it to be ruled out for offside.
A cross from the right by Luke Daley was headed against the post by Mullings before the rebound was knocked in by Frankie Merrifield. The flag though had already been raised for offside against Mullings meaning City had to settle for a draw.