Ambassador Li Baodong, Chinese permanent representative to the United Nations, and his Russian counterpart Ambassador Vitaly Churkin during the debate on Syria at the Security Council in February 2012.“But if the middle space [Russia and the former Soviet Union] rebuffs the West [the European Union and America], becomes an assertive single entity, and either gains control over the South [Middle East] or forms an alliance with the major Eastern actor [China], then America’s primacy in Eurasia shrinks dramatically.The same would be the case if the two major Eastern players were somehow to unite. Finally, any ejection of America by its Western partners [the Franco-German entente] from its perch on the western periphery [Europe] would automatically spell the end of America’s participation in the game on the Eurasian chessboard, even though that would probably also mean the eventual subordination of the western extremity to a revived player occupying the middle space [e.g. Russia].” ~ Zbigniew Brzezinski (The Grand Chessboard: American Primacy and Its Geostrategic Imperatives, 1997)
“Today we are witnessing an almost uncontained hyper use of force — military force — in international relations, force that is plunging the world into an abyss of permanent conflicts. As a result we do not have sufficient strength to find a comprehensive solution to any one of these conflicts. Finding a political settlement also becomes impossible. We are seeing a greater and greater disdain for the basic principles of international law. And independent legal norms are, as a matter of fact, coming increasingly closer to one state’s legal system. One state and, of course, first and foremost the United States, has overstepped its national borders in every way.” ~ Vladimir Putin at the Munich Conference on Security Policy in Germany (February 11, 2007)
Their mutual fears of encirclement have brought them together. It is no accident that in the same year that NATO bombarded Yugoslavia, President Jiang Zemin of China and President Boris Yeltsin of Russia made an anticipated joint declaration at a historic summit in December of 1999 that revealed that China and the Russian Federation would join hands to resist the “New World Order.”
“In assessing China’s future options, one has to consider also the possibility that an economically successful and politically self-confident China ~ but one which feels excluded from the global system and which decides to become both the advocate and the leader of the deprived states of the world ~ may decide to pose not only an articulate doctrinal but also a powerful geopolitical challenge to the dominant trilateral world [a reference to the economic front formed by North America, Western Europe, and Japan].” 
“America should also strongly support Turkish aspirations to have a pipeline from Baku in [the Republic of] Azerbaijan to Ceyhan on the Turkish Mediterranean cost serve as [a] major outlet for the Caspian Sea basin energy sources. In addition, it is not in America’s interest to perpetuate American-Iranian hostility.‘Any eventual reconciliation should be based on the recognition of a mutual strategic interest in stabilizing what currently is a very volatile regional environment for Iran [e.g., Iraq and Afghanistan]. Admittedly, any such reconciliation must be pursued by both sides and is not a favor granted by one to the other. A strong, even religiously motivated but not fanatically anti-Western Iran is in the U.S. interest, and ultimately even the Iranian political elite may recognize that reality.‘In the meantime, American long-range interests in Eurasia would be better served by abandoning existing U.S. objections to closer Turkish-Iranian economic cooperation, especially in the construction of new pipelines...” ~ Zbigniew Brzezinski (The Grand Chessboard: American Primacy and Its Geostrategic Imperatives, 1997)
Note: Brzezinski also refers to a Chinese-Russian-Iranian coalition as a “counteralliance” (p.116).