Accurate how?
At the time Medvedev was President of Russia, and Putin was Prime Minister. Since he was President before that, it's ok for him to be referred as President, like any former President of country.
The convention of referring to an ex president as President is peculiar to United States presidents, AFAIK.
It can also mean that he met with (then) President Medvedev and (now, as of writing) President Putin
No, we have the same in Poland, former presidents are still referenced as president (e.g. president Walesa or as mr president).