The draw mean Didcot had drawn all four games in January while remaining unbeaten for the six game running.
Didcot made a worse possible start when Bideford’s Sean Downing’s cross could only be punched by Leigh Bedwell into the path of Dan Western who made no mistake tapping into an empty net.
That opening goal seemed to wake the visitors up and came into the game and just before half time, Ben Whitehead played in Louis Joyce however he was denied by hosts keeper Joe Moore.
Didcot made the perfect start in the second half as Joyce slotted home the equaliser from a ball from Sam Barder. Bideford regained the lead just 10 minutes later as Western doubled his tally with a chip from outside the box.
Both sides had spells of pressure and the hosts looked like they would add to their tally as they had a trio of dangerous chances but were unable to add to their lead. Joyce continued to be a danger to the hosts defence but after a ball through from Barder, he was denied against by the on rushing Moore.
Andrady, on loan from Woking was introduced with ten minutes remaining and as the game went into injury time, Joyce this time became the provider as he played the youngster in who made no mistake to ensure Didcot made the 180 mile trip back to Oxfordshire with a point.
Didcot – Bedwell, Elkins, Cattell, Learoyd, Janes; Barder (Andrady 80), McNish, Thomas (Ballard 71), Thorne (Tanner 61); Joyce, Whitehead. Subs not used: Parish.