On Monday, an international arrest warrant was issued and Aliyev lost his diplomatic immunity a day later after being sacked from his position as ambassador.
A spokesman for the prosecutor’s office in Vienna said a decision would be made within the next 48 hours on whether Aliyev would remain in detention pending the ruling on his extradition.
“Austria has no bilateral agreements with Kazakhstan,” Wolfgang Swoboda, prosecutor’s office spokesman, said.
“That doesn’t mean an extradition is impossible, but it is not quite the same as dealing with another European country, for example.”
The Kazakh interior ministry declined to comment but said there would be a news briefing on Saturday.