Mezue ahịrịokwu na-esonụ: Mmeri kachasị mma ya gụnyere nke mbụ na Leipzig 1975, Dubna 1976, Yerevan 1980, Banja Luka 1981, Sochi 1981 na Minsk 1982. Ọ bụ onye mmeri nke 1978 Soviet Championship (ya na Mikhail Tal) na onye mmeri nke 1986 Championship. O meriri ụfọdụ ndị mmeri ụwa: Vasily Smyslov na Moscow Spartakiad 1974, Tal na Sochi 1970, na Garry Kasparov na 1978 Soviet Championship. Tseshkovsky n'onwe ya fọrọ nke nta ka ọ ruo eruo maka egwuregwu ndị na-achọ ịghọ onye mmeri ụwa mgbe ọ kwụsịrị nke anọ na 1976 Manila Interzonal, otu ebe dị ala karịa ka ọ dị mkpa ịga n'ihu na ọkwa ọzọ. Na
Na 27th Chess Olympiad na 1986, o nwetara akara 21⁄2/5 dị ka bọọdụ nchekwa nke abụọ iji nyere ndị otu USSR aka inweta ihe nrite ọla edo.