At the Mainz Chess Classic in 2003, he finished joint second behind Levon Aronian, repeating his placing the following year.

[1][2] In the 2013 Chigorin Memorial in Saint Petersburg, Zvjanginsev tied for 1st–11th with Pavel Eljanov, Dmitry Kokarev, Maxim Matlakov, Alexander Areshchenko, Denis Khismatullin, Oleg Korneev, Dragan Šolak, Sanan Sjugirov, Ivan Bukavshin and Ildar Khairullin.

[3] In the 2016 Aeroflot Open, he tied 3rd-10th with Vladimir Fedoseev, Gata Kamsky, Daniil Dubov, Mateusz Bartel, Sanan Sjugirov, Maxim Matlakov, and Mikhail Kobalia.

Viktor Korchnoi in an interview described him as a very original player, with an unusual view on life, which is reflected in his chess.

[6] He has been known to unleash the occasional outlandish opening novelty in order to catch his opponent off guard and avoid established theory and home preparation.

At a number of events, he even rolled out his own startling antidote to the Sicilian Defence, which renders the game a battle of wits from the very start.

White probes black's defences on the kingside, the queenside and ultimately in the centre, forcing a series of weaknesses that spell disaster.