Insurgents in the Luhansk region stopped short of mimicking the move made by their kin in Donetsk, but spokesman Vasily Nikitin said the Luhansk region will not vote in Ukraine's May 25 presidential election.
Ukraine's central government and the West have completely rejected Sunday's insurgent vote and accused Moscow of fomenting weeks of unrest in eastern Ukraine in a possible attempt to grab more land after annexing Crimea in March — accusations that Russia has denied.
"The farce, which terrorists call the referendum, will have no legal consequences except the criminal responsibility for its organizers," Ukraine's acting President Oleksandr Turchynov said in a statement.
The interim government in Kiev had been hoping the presidential vote would unify the country behind a new, democratically chosen leadership. Ukraine's crisis could grow even worse if regions start rejecting the presidential vote.
In Moscow, Russian President Vladimir Putin's office voiced hope that the Organization for Security and Cooperation in Europe could help broker talks between the central government and the two provinces. The cautious stance — which contrasted with Russia's quick annexation of Crimea after a separatist vote there — appeared to show Russia favoring a negotiated solution to what has become the worst crisis between Russia and the West since the Cold War.
"The practical implementation of the referendum results should proceed in a civilized way without any throwbacks to violence through a dialogue between representatives of Kiev, Donetsk and Luhansk," the Kremlin said.
The pro-Russia insurgents who organized Sunday's vote claimed 89 percent of those who cast ballots in the Donetsk region and about 96 percent of those who turned out in the neighboring Luhansk region voted for sovereignty. The insurgents said turnout topped 70 percent, but with no international election monitors around it was impossible to confirm such claims.
Turnout was brisk at some polling stations visited by AP journalists. At one polling station at a school in Donetsk, all the voting slips that could be seen in the transparent ballot boxes showed that self-rule had been selected.
Most opponents of sovereignty likely stayed away from the polls rather than risk attracting attention to themselves but there were no obvious signs of outright intimidation by the armed pro-Russia forces who have captured government buildings across the east.
Surveys by polling companies have indicated that a significant majority of people in Ukraine want to keep their country united.
Swiss President Didier Burkhalter, whose country currently chairs the OSCE, met with Putin last week to propose a road map for settling the Ukrainian crisis and outlined some of that plan Monday in Brussels.
"We have seen in Moscow that there is openness for a dialogue," Burkhalter said.
The OSCE plan urges all sides to refrain from violence and calls for an immediate adoption of an amnesty law. It also envisages a comprehensive national dialogue focusing on decentralization and the status of the Russian language. Burkhalter emphasized that it would be up to Ukraine to figure out how to set up the talks.
He said Ukraine has accepted a proposal to nominate Ambassador Wolfgang Ischinger of Germany as the OSCE co-moderator for the talks.
Dutch Foreign Minister Frans Timmermans welcomed the plan, saying "the OSCE offers us the best opportunity to try to get a diplomatic solution to the situation."