This was published under the 2010 to 2015 Conservative and Liberal Democrat coalition government
The two leaders held talks during the G20 summit in Seoul.
Speaking after their meeting Mr Cameron said:
We have both agreed we want to strengthen the bilateral relationship.
I’m very pleased to take up the invitation of a visit to Russia next year.
The PM said that he and the President shared views on economic issues such as global trade imbalances.
The situation in Iran and North Korea and the upcoming summit between Russia and Nato were also discussed.
Mr Medvedev said:
We’re interested in seeing these relations grow and develop this year.
We need to closer look into setting up bilateral contacts at the highest level.
The visit to Russia will be Mr Cameron’s first visit as Prime Minister. He has been preceded by Foreign Secretary William Hague who visited Moscow in October. Business Secretary Vince Cable and Minister for Higher Education David Willetts are also due to visit later this year.