This draw, coupled with results elsewhere, meant no ground was lost by the Blue Toon on the sides below them and they did move a point further ahead of Alloa.
A home game against Peterhead would have been identified as a reasonable chance for the Fifers to take three points and cut the gap at the bottom of League One.
But there was a sense of frustration for them at the end of a 90 minutes in which East Fife passed up several chances to open the scoring.
Peterhead had chances of their own, though, the best coming from the penalty spot.
East Fife’s preparations took a dent before the game kicked off with goalkeeper Scott Gallacher suffering an injury in the warm-up.
Teenager Liam Campbell was handed the gloves and took the challenge in his stride.
With Storm Malik causing havoc across Scotland, the east coast of the country seemed to suffer the worst of it.
Bayview struggled under the strong winds, particularly during the first 45 minutes.
Aaron Steele had a sight of goal but chances were really at a premium.
Out of nowhere the visitors were handed the ideal opportunity to get their noses in front when Chris Higgins hauled down Russell McLean.
There were no arguments in the East Fife ranks and McLean stepped up himself to take the kick.
But Campbell was equal to it and got down well to his left to deny the Blue Toon.
East Fife’s players got themselves into good positions but lacked a killer touch.
Kevin Smith sent Kyle Connell scampering clear on Brett Long’s goal only for the former East Fife goalie to stand up well and deny the on-loan Kilmarnock forward.
It was largely one way traffic in the second-half with East Fife on top. Scott Mercer had an excellent chance to make it 1-0 with the final chance falling the way of Aaron Dunsmore who lashed wide.
But for all the openings created, Long’s goal wasn’t breached as the Blue Toon earned a first league clean sheet since a goalless draw with Montrose at the end of October.