Kammala wannan jumla: A shekara ta 2008, Rodshtein ya kasance mamba ne na tawagar Isra'ila a gasar cin kofin duniya na kwallon kafa.
38th Chess Olympiad a Dresden; ya ci maki 7 daga wasanni 9, yana ba da gudummawa ga lambar azurfa ta ƙungiyar. Musamman, shi ne ke da alhakin nasarar Isra'ila a kan zakaran Olympics, Armenia. Bayan 'yan watanni sai Levon Aronian mai lamba 1 na Armenia ya ba shi damar yin aiki tare da shi a matsayin mataimaki. Rodshtein ya raba 1st a gasar zakarun Isra'ila ta 2008, amma bai riƙe taken ba saboda rashin daidaituwa. A cikin 2010 ya ɗauki wuri na farko a cikin 12th International Open of Sants, Hostafrancs da La Bordeta a Barcelona. A shekara ta 2011 Rodshtein ya yi daidai da na 4<unk>10 tare da Rustam Kasimdzhanov, Gata Kamsky, Rauf Mamedov, Ivan Cheparinov, Denis Khismatullin da Yu Yangyi a Aeroflot Open a Moscow. A cikin wannan gasa a cikin 2012, ya yi daidai da na 4<unk>8 tare da Alexander Khalifman, Hrant Melkumyan, Fabiano Caruana da Dmitry Andreikin. Rodshtein ya yi daidai da na farko tare da Sanan Sjugirov, Parimarjan Negi, Vlad-Cristian Jianu, Sergey Fedorchuk, Eric Hansen, Alexei Fedorov, da Yuri Vovk, wanda ya gama na uku a kan wasan kwaikwayo, a 2013 Cappelle-la-Grande Open. Ya lashe Kofin Rilton na 45, wanda aka gudanar daga 27 ga Disamba 2015 zuwa 5 ga Janairu 2016 a Stockholm, tare da maki 8/9.