The party introduced the topic at a parliamentary plenary last week, and now seeks to broaden the debate, making an "urgent request" for participation by Austria's Interior Minister Johanna Mikl-Leitner (ÖVP).
Under parliamentary rules, the Freedom Party is entitled to convene two special sessions per year. The session is to be held under the rubric "Safety instead of Islamization and Asylum Chaos."
The meeting will likely take place within the next eight working days, according to a report in the news daily Heute.
FPÖ Party leader Heinz-Christian Strache warned in a plenary meeting last Wednesday that "the threat from Islamism was more evident than ever."
He added that the danger came not just from the terrorist militia Isis in the Middle East, but also from "Isis terrorists disguised as refugees travelling to Austria", and said that "asylum seekers from Austria travel to the crisis region and fight there."
He called for strict limits on the acceptance of refugees, attracting sharp criticism from other parties.
The Federal Government counter-terrorism measures are, according to Strache, not sufficient.
The fact that "a handful of putative Isis-fighters sit in custody, will not deter others," he said.
"Calming slogans" were out of place. "It is therefore not enough to stop suspected terrorist fighters from leaving, but we must do everything possible to prevent them from entering the country."
Strache also stressed that Austria had done "great" work in the past with regard to helping refugees. But he said that it wasn't right that Austria and Europe receive "all refugees". "We are able to solve the problems only in the problem's region."
For Austria, Strache wants to "set a reasonable limit on how many asylum seekers Austria can accommodate"
Interior Minister Mikl-Leitner agreed that the situation in Syria was dramatic – and also that the threats "to our borders do not stop". The fight against terrorism must therefore "be completely a priority for us," she said.
She pointed out that the government had already taken steps – among others allocating more staff to domestic protection – and even more will be done. A focus on prevention, to stop young people becoming radicalized and joining the jihad, was a "very important answer".
Mikl-Leitner also stressed that Austria has a responsibility towards refugees, "namely to allow those who are fleeing from jihadism to come here."
It was a "very big challenge" that currently the number of refugees from the Syrian crisis region continues to rise, "not only for Austria, but also for Europe", she said.
Therefore, she urged that there should be a mandatory quota for all EU member states to ensure that all states "accept their fair share of war refugees".