Oskanian also said he would meet with Azerbaijani Foreign Minister Elmar Mammadyarov on 17-18 January in London.
There was no immediate confirmation from Azerbaijan.
Predominantly-ethnic Armenian Karabakh forcibly seceded from Soviet Azerbaijan in 1988, triggering a war that claimed some 30,000 lives and drove more than 800,000 people from their homes. Armenia and Azerbaijan signed a truce in 1994, but remain formally at war.
Oskanian today expressed hope that 2006 would bring substantial progress in the negotiation process.
France, Russia, and the United States -- which mediate in the peace talks on behalf of the Organization for Security and Cooperation in Europe -- have expressed similar optimism.