The diplomats represent the so-called troika, established July 25 to mediate during new Kosovo talks between Belgrade and Pristina as part of the Contact Group for Kosovo, which also includes France, Italy and Germany.
"The mediators must provide for dialogue between the Serbian and Albanian sides to facilitate the search for a compromise," said Mikhail Margelov, who heads the foreign affairs committee of Russia's upper house.
He said the talks would not seek to determine either the form or the content of the status of the province, which has remained a UN protectorate since NATO's 78-day bombing campaign against the former Yugoslavia ended a conflict between Serb forces and Muslim Albanian separatists in 1999.
The senator reiterated Russia's position that the plan to grant Kosovo independence, promoted by Washington and opposed by Belgrade and its long-standing ally Moscow, would destabilize Europe, serving as a precedent for other volatile regions.
Belgrade, in turn, currently offers Kosovo as wide autonomy as possible in international relations.
A draft resolution on Kosovo by UN special envoy Martti Ahtisaari, which would have ceded 15% of the Balkan state's territory, was voted down in the UN Security Council in July.