Kammala jumla mai zuwa: A cikin zagayen Gasar Cin Kofin Duniya ta 1982<unk>84, ya cancanci shiga Gasar 'Yan takara, inda ya yi rashin nasara ga mai nasara Garry Kasparov a wasan kusa da na karshe na gasar.
'Yan takarar 1983 sun dace. Beliavsky ya taka leda a saman hukumar don tawagar USSR wanda ya lashe lambar zinare a gasar Olympics ta Chess ta 1984. Beliavsky ya kasance babban abin dogaro a wasannin duniya a cikin shekarun 1980 da farkon shekarun 1990, duk da haka, bai yi aiki a matakin mafi girma ba. A cikin 'Yan takarar 1985-87 ya gama 7/16, amma bai cancanci shiga gasar' Yan takarar 1988-90 ba ko kuma gasar 'Yan takarar PCA ta 1994-95.