The Serbian Justice Ministry said in late February that minister Dusan Petrovic had signed an extradition request for two members of Milosevic's family, currently living in Moscow.
"So far no extradition request for Milosevic' widow, Mirjana Milosevica, and their son Marko has been received from Serbian authorities," said Prosecutor General's Office spokeswoman Tatyana Chernyshova.
Mirjana and Marko Milosevic are wanted in Serbia for heading a cigarette smuggling ring in the early 1990s, which investigators say netted them several million dollars. The mother and son have denied the allegations, and have refused to return to their homeland to face trial.
Chernyshova said that Russia had recognized the Milosevic family as refugees in February 2006.
Konstantin Poltoranin, a spokesman for the Russian Federal Migration Service, said in February that the service saw no grounds for the extradition of Mirjana and Marko.
"The Milosevic family is protected by laws and international conventions that Russia also signed, so no emotional statements demanding that the ex-Yugoslav president's family be extradited can provide grounds for any legal decisions," he said.
Slobodan Milosevic, who led Yugoslavia into war and international isolation, culminating in the NATO bombing of the country in 1999, died in custody in The Hague in March 2006, before a UN war crimes tribunal passed a verdict on his role in the wars in Croatia, Bosnia and Kosovo in the 1990s.
He died of a heart attack. He had repeatedly complained of high blood pressure and chest pains asking for permission to undergo treatment in Moscow, which was denied.
Milosevic's brother Borislav, a former Yugoslav ambassador to Russia, also lives in Moscow.