The Bairns took an early lead through Callumn Morrison but Joe Cardle and Brian Graham turned the game on its head in the second half to make it 2-1.
David McCracken then introduced Charlie Telfer to the game who provided the spark which saw him earn a point for the visitors with his 88th minute strike.
Falkirk went in to the game still missing co-manager Lee Miller to isolation and went with the same starting XI that beat East Fife 2-0 the previous Saturday.
They were able to get their noses in front early on when Akeel Francis knocked the ball in to the path of Callumn Morrison who got a shot away from 20 yards which took a wicked deflection off of Partick's James Penrice which saw it loop over the head of Jags’ keeper Kieran Wright and in.
An early lead at Firhill and a great start but the visitors then gifted their hosts a way back in to the game just minutes later when Ben Hall brought down Joe Cardle in the box. Brian Graham stepped up and hit the ball with power from 12 yards but without any real direction and PJ Morrison, starting again with Robbie Mutch sitting out the second match of his two game suspension, managed to get a strong hand to block it down to his left.
From that point on the two teams seemed fairly evenly matched with Falkirk looking just that bit sharper, trying to get Morrison on the ball as often as possible.
Meanwhile, Thistle were peppering the penalty area with crosses aimed at Graham that Durnan and Hall were equal to every time.
Then, just before half time, Falkirk should have had a 2-0 lead to take in to the break when Robbie Leitch did superbly to beat his man and cut back from the byline to Anton Dowds who was in acres of space at 15 yards and tried to curl it in to the right corner but sent his shot crashing off the post.
Falkirk were the better side in the first half but not by much, in the second half there was only one team on top and it was the hosts.
They had all of the ball and eventually made it pay when a ball in to the box from the left was knocked back across goal by Blair Spittal in to the path of Cardle who headed in to an empty net from six yards.
The Bairns were the struck with the one-two punch and Thistle were ahead just two minutes later as Cardle turned provider for Graham as the big number nine headed in the cross to make it 2-1.
That goal sucked the life out of the Falkirk side who appeared flat after a positive first half.
They needed a spark to breathe fresh life back in to the team and David McCracken found it when he brought on Telfer.
The former Rangers and Dundee United player looked hungry after a frustrating few months of injuries and surgery and clearly wanted to take his chance… and boy did he.
Thistle looked to have the game under control as Falkirk hadn’t really troubled them since they went in front but a corner in to the mix caused problems and eventually the ball came to Conor Sammon at the near post who headed it in to the centre of the penalty area for the on rushing Telfer to smash past Wright and make it 2-2.
It wasn't the most pleasing performance for Falkirk but to come away from Firhill with a point having not played to the best of their abilities could prove to be a massive moment come the end of the season.
There’s a long way to go yet though and only time will tell.