Karl Nehammer's attempts to assemble a three- and then two-party coalition with other centrist parties fell apart this weekend, prompting him to announce his resignation.
If Kickl succeeds in forming a government and becoming chancellor, he will be the first Austrian prime minister coming from a far-right party with Nazi historical roots.
Some Jewish representatives have already announced that they will boycott the event due to the presence of far-right Freedom Party (FPÖ) member Dr. Walter Rosenkranz's presence.
This comes after the Jewish community's leader said he was not suitable for the job.
Austria's President, Alexander Van der Bellen, announced that he asked the ÖVP leader - out-going Chancellor Karl Nehammer - to lead negotiations for the constitution of a new government.
Austrian Jewish leader warns of far-right Freedom Party's election victory, citing Nazi sympathies and threats to Jewish life.
Israel is boycotting the Freedom Party due to its past and present Nazi connections.
World Jewish Congress executive council member Benjamin Guttman stated, "It is unbearable that these individuals continue to hold political office instead of facing justice in court."