Making the short trip across the border, Town were looking to build on their previous 2-0 win at Newport County a week previous.
Starting in positive fashion, the green and whites put on a positive display in and out of possession and enjoyed a host of early chances against the Grecians.
Despite enjoying plenty of territory, the Glovers were left frustrated due to a string of fine saves and squandered chances when one-v-one.
Without a goal to show for their dominant display, Town finally broke the deadlock just past the half-hour mark.
Winning possession in their own half they launched a rapid counter-attack which ended with Neville Nzembela racing through on goal.
Having netted at Newport the striker maintained his goal scoring form with an emphatic finish into the bottom corner which gave the home stopper no chance.
Pinning Exeter into their own half the Glovers pressed for a second but had to settle for a 1-0 lead at the halfway stage.
After feeding off of scraps in the opening 45 minutes, Exter grew into the game in the second half and enjoyed territory of their own.
Conceding a corner in the 68th minute, hesitancy in not attacking the ball allowed Exeter an opportunity to score, which they took to make it 1-1.
Two minutes after the Grecians leveled it up, Town were reduced to ten men when Daniel Ojo received a straight red for an off the ball incident.
Despite the setback, the Glovers pressed for a winner and almost found it when Hong Wan raced through on goal, only for his shot to be dragged wide.
George Calverley then hit the crossbar with a terrific left footed shot from the right-hand side of the area, but the 10-men had to settle for a share of the spoils.