A late header from Stewart Murdoch gave Falkirk a point in injury time.
The midfielder threw himself at Thomas Grant’s 92nd minute corner to head Falkirk level after Brian Graham had given the Fife side a first half lead.
In truth it was a poor game, and Steven Pressley admitted his side were “leggy” given their heavy schedule of games recently.
However he was pleased with their second half performance after an unispired opening 45 minutes.
Falkirk barely tested David McGurn in the opening 45 and it was a stuffy careless fiorst half from both sides.
Graham stabbed in the only clear-cut chance when Jason Thomson hammered a low cross into the six-yard area after easily by-passing Stephen Kingsley. The young defender was in the starting line-up despite limping out of Saturday’s Scottish Cup win voer Hamilton with a twisted knee.
Joe Hamill also swept a powerful shot wide for the visitors.
Saturday’s hero Blair Alston didn’t enjoy the midfield dominance he had at Hamilton, but gave fleeting views of his abilities in the first half before an exhausting week caught up with him too.
The Bairns rang the changes with Lewis Small replacing the ill Lyle Taylor and just after the hour Thomas Grant and Jay Fulton came on and made the difference after replacing Sean Higgins and Conor McGrandles.
Fulton had a diving header cleared from the line as Falkirk pressed for an equaliser, and it eventually came from fellow sub Grant when the third of three late corners was thudded home by Murdoch.