Faymann also suggested that Germany should introduce a daily quota for refugees, according to which a certain number of migrants will be allowed to enter the country on a regular basis.
"It should set a daily quota and directly transfer those refugees from Greece, Turkey and Jordan to Germany," the politician said.
Since early January, Germany has started so to send the so-called economic refugees back to Austria. As a result, Austrian authorities introduced daily refugee caps in order to stop the uncontrolled influx of refugees through their country.
The refugee crisis led to a division in the ranks of European leaders and caused chaos across Europe. While German Chancellor Angela Merkel pursues a policy of open doors toward refugees, such countries a Poland, Hungary, Slovakia and the Czech Republic have rejected any calls to impose a compulsory relocation of refugees on their territories.