A late goal from ex-Bairn Carl Finnigan salvaged a point for Dundee and knocked Falkirk hopes of catching Ross County.
The Bairns had taken the lead, after dominating the first half, through Farid El Alagui.
The Morroccan stabbed the ball home after 28 minutes, capitalising on Willie Gibson's effort at Dundee's goal that hit the post.
Gibson, a recent signing from Crawley Town, lifted the ball over the on-rushing Rab Douglas, but it hit the upright before falling kindly for Farid El Alagui waiting on the six-yard line.
The striker had already been foiled by Douglas when he headed at goal on five minutes and the former Celtic and Scotland stopper pushed the ball wide.
Tiredness and fatigue swept across the Bairns line-up in the second half, but Darren Dods and his fellow defenders were much improved on recent games and kept the Dens Park side out until late on.
Barry Smith threw on Carl Finnigan, who was released by the Bairns in the summer. He joined St Johnstone but his appearances have been limited in the SPL and joined Dundee today on loan until the end of the season.
He marked his debut in familiar surroundings with the equaliser, trundling the ball beyond Michael McGovern with just four minutes to play.
Steven Pressley was again in understanding mood on the tiredness that is affecting his squad after more than 30 games already this season
"Ross County were inactive tonight, and we're a point closer to them, but it is disappointing not to win." he said.
The Dingwall club's game with Morton was called off with a waterlogged pitch at Victoria Park. County are two points clear of Falkirk, with three games in hand.
For more reaction to the game, see this week’s Falkirk Herald.