Russian President Dmitry Medvedev has made the fight against corruption one of his main goals since taking office last month, and is set to head a new anti-corruption council.
At a meeting with Medvedev, Bogdanov, who heads one of Europe's largest media unions, uniting over 100,000 journalists, highlighted the main problems facing the media in Russia.
"There are a lot of problems, in particular murders of journalists, and the fact that we often have complex relations with the authorities," Bogdanov said.
Medvedev's predecessor Vladimir Putin, who is now prime minister, was often criticized by foreign media for holding excessive control over the Russian press.
Russia remains one of the world's most dangerous countries for reporters. According to data from the international organization Reporters Without Borders, 21 journalists were murdered in Russia between 2000 and 2007.