The presidents met for the first time before the G20 summit in London which brought together the heads of 20 industrial and major developing countries to discuss measures to resolve the global economic crisis.
"I'm glad I got acquainted with the U.S. president. It was a good meeting," Medvedev said at a news conference after the summit when asked about Wednesday's meeting with Obama.
"It seemed to me that we succeeded in making contact. Of course, it was our first meeting, and we will have another meeting in Moscow later this year, but I can absolutely say that we see many issues the same way," he said.
Medvedev also said that Obama was a person who could listen and give a full answer to difficult questions, such as on the planned U.S. missile shield in Eastern Europe and the expansion of NATO.
"He is able to listen and can give a comprehensive, detailed answer and be completely honest in answering even the most difficult questions. We discussed issues on which our countries have serious differences, like the anti-missile shield, NATO expansion, and last August's events [in South Ossetia]," Medvedev said.
Washington has claimed that the anti-missile defense would protect against rocket attacks from rogue states such as Iran, but Moscow sees the shield as a threat to its national security.
Medvedev said the United States was ready to discuss different options for the missile shield, a step the Russian president called "important," adding that the previous U.S. administration had "a completely different approach."
Medvedev said Obama's upcoming visit to Moscow should prove very productive.
