Russian President Vladimir Putin, center, tries on a jacket during a visit to the training center for volunteers Winter Olympics at the Black Sea resort of Sochi, southern Russia, Saturday, Jan. 4, 2014. Russian President Vladimir Putin has rescinded a blanket ban on demonstrations in Sochi in and around the Winter Olympics and Paralympics. Russian President Vladimir Putin, left, touches the glove of former ice hockey star Pavel Bure, center, after a friendly hockey match between the Stars of the NHL 1 and the Stars of the NHL 2 teams at The Bolshoy Ice Dome, the part of the complex of facilities operated by the International Ice Hockey Federation (IIHF) at the Black Sea resort of Sochi, southern Russia, Saturday, Jan. 4, 2014. Russian President Vladimir Putin signs his name during a visit to the training center for volunteers for the Winter Olympics at the Black Sea resort of Sochi, southern Russia, Saturday, Jan. 4, 2014. WASHINGTON (AP) - Russia's slide from democratic reforms and its relationships with international peers threaten to undercut the spirit of the Olympic Games it hosts next month, failed presidential nominee Mitt Romney said Sunday. Romney, who led 2002's Winter Games in Salt Lake City, said he also worried about security preparations but predicted Russia has done everything it can to prevent violence and to protect athletes at the Sochi games. "I don't think any major global event that brings people from all over the world together like that can possibly escape the threat of violence," said Romney, whom Republicans picked to challenge President Barack Obama's re-election bid in 2012. Twin suicide bombings in the Russian city of Volgograd left 34 victims dead last week, just 400 miles from where the Sochi Games will be held. No group has claimed responsibility for the bombings, but they highlight just how vulnerable the games could be to militant attacks. Separatists seeking to carve out an Islamic state in the North Caucasus have mounted attacks across Russia for nearly two decades, following wars between separatist Chechen rebels and Russian forces. "Russia has a special problem given the threats that have been leveled," Romney said. There's no question about it. It's very, very frightening to have any kind of Olympic event on your national soil," he added. Romney's criticism of Russia is hardly new. During his presidential campaign, Romney called Russia "our No. 1 geopolitical foe. Picking up that criticism, Romney said Russian President Vladimir Putin has not done enough to pressure Iran to curb its nuclear program or push Syrian President Bashar Assad from power. He also criticized Russia for harboring Edward Snowden, a former National Security Agency contractor who leaked documents disclosing several secret spy programs, and for shifting away from democratic reforms that Olympic organizers sought to reward when they picked Sochi to host the games. Were it my choice, I would not vote for Russia to hold the Winter Olympics or the Summer Olympics. But it's not my choice," Romney said. Russia also has faced criticism over its new anti-gay law, mounting costs and environmental concerns about the games. Asked during a "Fox News Sunday" interview whether Russia's behavior undercut the Olympic games' sprit, Romney answered yes. He invoked the 1936 Berlin games that took place under Adolf Hitler and his fellow Nazis. "Hitler's presence there, that certainly undercut the Olympic message," Romney said. And surely that can happen in our time, theoretically or specifically. Follow Philip Elliott on Twitter: www.twitter.com/philip_elliott