Liam Craig levelled from the spot and the Bairns slipped four points adrift at the foot of the Scottish Premier League after going on to lose 2-1.
Pressley is aware his comments could land him in trouble with the Scottish Football Association but he is adamant he will continue to stand up for his club.
Pressley said: "I keep saying that when decisions go against us, they seem to be brushed under the carpet. I'll certainly not be accepting that.
"If a decision is made, it has to be the correct decision. We cannot suffer from a bad decision and have no repercussions.
"It's too easy to make a decision and it be wrong and it be swept under the carpet. it's us as a club that suffers and that has to change."
When asked whether there had been any repercussions following his comments, Pressley replied: "None at all. I'm ducking for cover!"
With St Johnstone winning again on Tuesday to move 14 points ahead of Falkirk, the Bairns' only chance of survival now appears to rest on overhauling Hamilton or St Mirren.
They face Accies at New Douglas Park on Saturday and Pressley is confident his men have fully recovered from their defeat.
"The spirit and the unity within the dressing room is fantastic," the former Scotland defender said.
"I keep talking about that, if people could only come here and see it they would believe it for themselves.
"This group of players have shown great resilience and again have been in a real positive mood looking forward to his weekend.
"Of course we took a blow last week but it's about our reaction. Our reaction to training has been great and we're in determined mood.
"We know the importance of the game and we're prepared for it. We're going to relish the challenge, we can't fear it."
Injury victims Mark Stewart, Carl Finnigan and Danijel Marceta have all trained this week, although the game may come too soon for them to make their playing comebacks.
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Source: Team Talk