Falkirk are likely to end the season in third place at best after slipping to a 3-1 defeat at Dens Park.
Falkirk and Dundee had little to play for other than pride but both teams worked hard in what was an open and free-flowing game of football.
Stephen O’ Donnell put the home side in front with just 11 minutes played with a fine strike from outside the box.
The Bairns equalised 13 minutes later through long-range specialist Mark Millar. His speculative effort from 25 yards deceived keeper Rab Douglas, the ball squirming under him and into the net.
But Dundee regained the lead with 36 minutes gone when Ryan Conroy comfortably slotted home a penalty kick after Falkirk skipper Darren Dods was judged to have blocked a shot with his arm.
The Dens Park side extended their lead through Steven Milne, who stabbed the ball home after 57 minutes.
Falkirk enjoyed a majority of possession in what was an open match, but failed to capitalise on mistakes as ruthlessly as Dundee.
Meanwhile, Stenhousemuir’s chances of securing a play-off position in Division Two were severely dented by losing 3-0 at home to Airdrie United.
The Warriors are now three points adrift of the Diamonds and East Fife with just four matches remaining.
And it was a weekend to forget for Shire supporters after their team was thrashed 5-1 by Queen’s Park at the National Stadium.