He often played in the Reggio Emilia chess tournament, winning the "C" section in 1991 (the major section was won by Anatoly Karpov and the "B" section by Ljubomir Ljubojević).
At his strongest in the mid-seventies to early eighties, Hübner participated in many of the elite tournaments of the day, such as Tilburg 1978 and Montreal 1979 (The Tournament of Stars), playing alongside Anatoly Karpov, Mikhail Tal, and Jan Timman.
Since 1990, he had been the director of the Belarusian Independent Institute of "Belrad", created in 1989 with the help of Andrei Sakharov, Ales Adamovich and Anatoly Karpov.
Anatoly Karpov | Anatoly Sobchak | Anatoly Konstantinovich Rozhdestvensky | Anatoly Vasiliev | Anatoly Marchenko | Anatoly Chubais | Anatoly Pepelyayev | Anatoly Lunacharsky | Anatoly Kuznetsov | Anatoly Artsebarsky | Anatoly Trofimov | Anatoly Solovyev | Anatoly S. Chernyaev's | Anatoly Rybakov | Anatoly Petrovich Andriyashev | Anatoly Petrovich Alexandrov | Anatoly Osmolovsky | Anatoly Nikolayevich Alexandrov | Anatoly Maltsev | Anatoly Kulikov | Anatoly Kornukov | Anatoly Efros | Anatoly Chernyaev | Anatoly Adamishin |
Even without their strongest players, the "Three K's" (PCA world champion Garry Kasparov, FIDE champion Anatoly Karpov and Vladimir Kramnik), Russia were still favourites, and the team did win their fourth consecutive title.
De Mooi described the events, which saw Kirsan Ilyumzhinov re-elected over Anatoly Karpov, as "a farce of a vote", going on to declare: "You wouldn't believe the blatant breaking of rules and FIDE's written statutes. It's amazing. There wasn't even a pretence of fairness and free speech."
The same sacrificial pattern was echoed in a number of later games, notably Nimzowitsch–Tarrasch, St Petersburg 1914; Miles–Browne, Lucerne 1982; and Polgar–Karpov, Seventh Essent 2003.
Arguably his most impressive international tournament success occurred at León in 1993, where he won ahead of Vyzmanavin, Topalov, Karpov and a young Peter Leko.
His Los Angeles Times Magazine profile of the world chess champions, Garry Kasparov and Anatoly Karpov, received special mention in the first Best American Sports Writing, edited by David Halberstam and Glenn Stout.
A board one score of 73.7% (+12 =4 −3) earned him the individual bronze medal (behind Karpov and Delgado, equal with Torre) also securing his final grandmaster norm.
On "Television Acquaintance" he interviewed well-known people, including Anatoly Karpov, Irina Rodnina, Ilya Glazunov and Alla Pugacheva.