“I hope that your activities at the head of the government will contribute to the further development of bilateral cooperation in various fields - for the benefit of our peoples, in the interests of strengthening security and stability on the European continent,” RIA Novosti quoted the press service of the Russian president as saying.
The President stressed that relations between the countries are traditionally constructive.
Earlier, Austrian Chancellor Sebastian Kurz said that he was resigning amid an investigation by the prosecutor's office into a corruption case.
He proposed Schallenberg as his successor.
The new Austrian Chancellor Alexander Schallenberg and the country's new Foreign Minister Michael Linhart were sworn in by Austrian President Alexander Van der Bellen.