It was a point on the road for the Mariners but Paul Hurst will probably feel disappointed, even though his side were under the cosh for most of the game.
Josh Gowling returned to the Town starting Xl, with Shaun Pearson dropping to the bench. Zak Mills kept his place in Paul Hurst's side, with Ben Davies, Danny Collins and Danny Andrew making up the Town defence.
Brandon Comley, Dominic Vose, and James Berrett were named in midfield, with Omar Bogle and Shaun Tuton up front for the Mariners.
James McKeown was certainly the busier of the keepers in the first half.
Lee Holmes had the Grecians first real chance on nine minutes, with the Town stopper pulling off a good reaction save.
Lloyd James had the McKeown looking on anxiously as his half volley just dipped over his crossbar.
And McKeown was in action again on 23 minutes when he did well to tip over Reid's goal-bound header.
Town's best chance of the first half fell to Shaun Tuton, possibly thinking he was offside, the Barnsley loanee sent the ball over from a good position.
Half-Time: Exeter City 0-0 Grimsby Town
The home side starting the second half in the ascendancy too and Reid should have put them ahead. Danny Andrew's heading back pass to his keeper fell short, with Reid nipped in before sending a looping effort against the crossbar and over.
Omar Bogle had a chance to give Town the lead on 53 minutes but his dead-ball kick was well over and didn't trouble Pym in the Exeter goal.
Moments later dangerman Reuben Reid almost redirected Pierce's effort past McKeown, but fortunately for Town it went just over.
Dominic Vose did well and his effort fizzed just wide of Pym's far post.
Summerfield replaced Comley and Tom Bolarinwa came on for Vose as the Mariners tried to perk things up a bit.
And Summerfield was straight into the thick of the action and the former York midfielder hammered a shot just over the crossbar.
Town's best chance of the game came in the 86th minute. A good passing move ended with Summerfield firing just wide from 20 yards.
The Mariners introduced Tom Bolarinwa for Dominic Vose, and Tom instantly made an impact, winning a corner which was headed wide at the far post by Omar Bogle.
Paul Hurst will probably see this as a good defensive performance and a point gained after a mammoth trip to Devon.
Town are next in action next Saturday when we travel to Cambridge United
Town: McKeown, Mills, Collins, Gowling, Andrew, Davies (c), Comley, Berrett, Vose, Tuton, Bogle.
Subs: Pearson, Disley, Jackson, Venney, Bolarinwa, Summerfield, Vernon.