Moscow names Turkey, which has backed Azerbaijan to demand deadly peace.
Russia has urged Turkey to work to end the deadly clashes in the Nagorno-Karabakh region as Ankara has thrown its support behind Azerbaijan.
Dozens have been killed and hundreds wounded since clashes broke out on Sunday between Azerbaijan and its Armenian-Armenian mountain enclave, Nagorno-Karabakh, as a decade-old conflict broke out again.
Armenia and Azerbaijan reported further bloodshed in the region on Tuesday as the worst violence since the 1990s continued for a third day and heavy weapons were brought to the front lines.
Moscow’s appeal came after Turkish President Recep Tayyip Erdogan demanded on Monday that Armenia end its “occupation” of Nagorno-Karabakh and leave the area recognized as part of Azerbaijan.
“We call on all sides, especially partner countries like Turkey, to do everything possible to reach a ceasefire and to return to a peaceful settlement of this conflict by political and diplomatic means,” Kremlin spokesman Dmitry Peskov told journalists.
“Any statement of any kind of support and military activity will undoubtedly add fuel to the flames. We are categorically against it. “
Armenia has accused Turkey of sending mercenaries, its close ally, to Azerbaijan, an indictment that Ankara denies.
Turkey and Armenia are extremely tense. Russia is part of a military alliance of former Soviet states, including Armenia, and has a military base there.
However, Russia supplies weapons to both Yerevan and Baku.
Peskov said Russia is in “constant contact” with all three countries.
France, Russia and the United States brokered peace efforts as the “Minsk Group”, but the last major push for a peace agreement collapsed in 2010.