Dvoirys competed in the
1993 Interzonal tournament, held in
Biel. In 2000, he took part in the inaugural
Anatoly Karpov International tournament, a
category 14 round-robin tournament in
Poikovsky, Russia: he scored 3½ points from 9 games, tying for 7th-8th places. In 2001, he tied for 1st–2nd places with
Alexey Korotylev at
Geneva Open. In 2010, he won the Izmailov Memorial tournament in
Tomsk, tied for 1st-5th places in the A2 group of the
Aeroflot Open with
Aleksei Pridorozhni,
Igor Glek,
Sergey Pavlov and Mikhail Panarin, and tied for 1st–4th with
Sergei Yudin,
Pavel Smirnov and
Sergei Iskusnyh at
Pavlodar. In 2011 he came first in the
Lev Polugaevsky Memorial tournament in
Chelyabinsk. Dvoirys played for the victorious team Russia 1 at the 2014 European Senior Team Chess Championship in
Šibenik. He scored 6½/9 playing on the . He competed at the
2017 Maccabiah Games. == References ==