Kupriyanov later told Russia's Interfax news agency that Gazprom was ready to continue talks with its Ukrainian counterpart, Naftogaz Ukraine, but was unsure if the Ukrainian side would agree to participate.
The dispute echoes a price row that led to a brief cut-off of Russian gas to Ukraine in 2006, which in turn led to supply shortages in the European Union.
Russian natural gas accounts for around a quarter of Ukraine's gas imports, with the rest coming from former Soviet republics in Central Asia via pipelines that go through Russia.
The rift over debts for gas imported in 2007 and 2008, comes less than three weeks after Russia and Ukraine had claimed to have reached a deal to resolve the row.
Under the deal, Moscow agreed to a Ukrainian demand to replace two controversial intermediary gas trading companies with a more transparent enterprise.
Changes to the complicated system of intermediaries by which Ukraine pays for gas imported from Russia and via Russia from Central Asia had been a key demand by Yulia Tymoshenko, Ukraine's prime minister.
However, disagreements remained over a debt Moscow claims Ukraine accumulated in recent months when Russia used its own gas to fill a shortfall in deliveries from Central Asia.