While the Fleet did well to recover after a slow start, Dagenham will probably be the happier of the two sides after securing a share of the spoils to maintain a four-point advantage over their hosts.
As against Weymouth last week, the Daggers were quickly into their attacking stride. With four minutes gone Paul Benson released Sam Saunders, and the lively midfielder went scurrying down the outside right channel to give Lance Cronin's handling an early test with a low, driven cross.
The Gravesend goalkeeper was soon in action again, pulling off an athletic reaction save from Benson's close-range header before gathering Saunders' firmly-struck long-range free kick, and it began to look like the Fleet defence was going to be in for a long afternoon.
With 15 minutes gone Benson narrowly failed to connect with Saunders' well-placed corner, missing a golden opportunity to put the Daggers ahead. But despite Saunders' increasing influence, and the occasional uncertainty of Cronin in the Fleet goal, Dagenham's forward forays were repeatedly frustrated.
On the half hour, with the game becoming increasingly scrappy as Gravesend fought to find a way out of their own half, the Daggers missed yet another opportunity to hammer home their advantage. Saunders delivered a sweeping cross from the right, but the stretching Craig Mackail-Smith couldn't quite connect at the far post and once again the Stonebridge Road faithful breathed a sigh of relief.
Ten minutes from the interval Dagenham should have been made to pay for their profligacy, as Charlie MacDonald broke through the away defence only to unleash a tame shot into the welcoming arms of Dagenham goalkeeper Tony Roberts.
If that was a warning for the Daggers, they responded swiftly, Mackail-Smith latching on to a fine through ball and racing into the area before squaring for Benson, who was foiled by James Smith's last-ditch slide tackle.
As the first period drew to a close tempers began to fray. Gravesend's right wing-back, Jon Keeling, vented his frustration on Saunders by wrestling the Dagenham number seven to the ground.
Moments later Keeling was on the receiving end, felled in his own area by former Fleet loanee Tim Cole, who was booked for his troubles.
As the referee blew for half time, the task faced by Gravesend manager Liam Daish was to try and stop Saunders. His solution was to replace Keeling, who had endured a torrid time against Saunders, with the returning Sacha Opinel.
The tactical adjustment quickly made a difference, Gravesend immediately enjoying far more possession than they had done in the first half. Within minutes MacDonald had a chance to put the Fleet ahead, bursting into the area to force an agile save from Roberts.
But as the half wore on Gravesend's performance increasingly began to resemble Dagenham's first-half display. Despite enjoying the bulk of the possession, the Fleet were struggling to find their way through the visitors' defence.
Having dealt with a sustained period of pressure from Gravesend, Dagenham finished the match the stronger. Saunders twice went close, sending a delicate chip onto the roof of the Fleet net, before guiding an angled effort through a mass of bodies to send Cronin scrambling sharply to his left.
If Saunders' impressive individual contribution deserved better, it was ultimately fitting that such a scrappy affair should end with honours even.