Nicola Sturgeon sparked political uproar earlier this month as she promised to deliver another vote before the EU exit.
The pledge resulted in Theresa May telling the SNP leader to forget about a referendum, as she said "now is not the time" for a disruptive vote on whether Scotland becomes an independent nation.
Ms Sturgeon, however, remains determined to have a new vote between autumn 2018 and spring 2019.
The Scot hammered the SNP, saying their were undermining their own case
One audience member questioned the premise of which the First Minister was calling for the vote, as he argued the SNP were undermining their own case by changing their stances on what an independent Scotland’s relationship with the European Union would look like.
The Scot challenged SNP MSP Fiona Hyslop: “I would just like to put the question that given that the SNP’s whole premise for holding this second referendum would be to retain Scotland’s position within the European Union.
“The party itself is now rowing back from that position, suggesting that the EFTA or the EEC could be an alternative. So by that virtue alone, you’re sort of undermining your own case.”
Responding to the criticism, Ms Hyslop insisted the SNP had maintained the same position on EU membership, but it had placed membership of the EFTA or the EEC on the table as part of a compromise to Mrs May’s Government.
So by that virtue alone, you’re sort of undermining your own case
BBC audience member
She said: “No we are not, that is our current position, it’s been there for a long time.
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“What we were proposing as part of the compromise… is to have a system by which through the EEA and EFTA Scotland could remain as part of the single market even if the rest of the UK left. That’s what we wanted as part of the compromise.”
During the BBC debate, Ms Hyslop also said Scotland had to take action if they wanted a say over their future.
She said: “Every other country will get to decide whether this a good or a bad deal, apart from Scotland somehow.
Nicola Sturgeon's most outrageous quotes Mon, March 13, 2017
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“We have a window between the autumn of 2018 and the spring of 2019 because according to Theresa May’s own timetable, we’re not in control of this timetable, that is the point the UK will be out.”
During the debate, Ms Hyslop was quizzed about the possibility of a referendum vote being held after Brexit.
Ms Hyslop said: “That’s the risk that we have, that if we do nothing and drift along for two years Scotland’s future will be decided for us by a Conservative, hard right Brexiteer Government.”
Ms Sturgeon was left squirming last week as she was challenged on whether or not she could guarantee an independent Scotland would be given EU membership.