He won the 25th Andorra International Open (30 June – 8 July 2007) in a three-way tie for first in a field of 101 players.

Rodshtein shared 1st in the 2008 Israeli championship, but didn't retain the title due to inferior tie-break.

[6] In 2011 Rodshtein tied for 4th–10th with Rustam Kasimdzhanov, Gata Kamsky, Rauf Mamedov, Ivan Cheparinov, Denis Khismatullin and Yu Yangyi in the Aeroflot Open in Moscow.

[7] In the same tournament in 2012, he tied for 4th–8th with Alexander Khalifman, Hrant Melkumyan, Fabiano Caruana and Dmitry Andreikin.

[8] Rodshtein tied for first with Sanan Sjugirov, Parimarjan Negi, Vlad-Cristian Jianu, Sergey Fedorchuk, Eric Hansen, Alexei Fedorov, and Yuri Vovk, finishing third on tiebreak, at the 2013 Cappelle-la-Grande Open.