Hearts came back from two goals down to grab a share of the spoils at Tynecastle.
And, after a drab first half performance they were inspired by second half substitutes Jean Louis Valois, who created two goals and led the Dundee defence a merry dance for the 40 minutes he was on the pitch.
Hearts missed early opportunities when Stamp fired over and Wyness missed the target from only ten yards from a great cut back by Pat Kisnorbo.
And the well organised visitors made them pay when Webster's slip let Novo through on goal.
His left foot effort lacked venom but despite giving a hand to the ball Moilanen couldn't keep it out.
And Dundee always looked the more likely to add to their lead as Hearts struggled to get any grip on the midfield area so it was no surprise when Rae galloped 30 yards to slot Dundee's second with a little help from both posts as the ball ran all the way along the goalline before crossing.
It looked as though all three points were heading for Dens Park but Valois had other ideas.
The Frenchman combined with fellow substitute Stephen Simmons to create an opening for Graham Weir which he finished neatly over the diving Speroni.
And all of a sudden Hearts looked interested.
With nine minutes to play they came level in simple fashion when Pressley rose unchallenged to power home Valois' corner.
And it was Valois who came closest to winning the game for the home side with a 25 yarder just over the bar followed by a volley which drifted inches wide.
In the end Hearts will be delighted with the comeback and the contribution from their substitutes whilst Dundee will feel this is two points lost.