Russian President Vladimir Putin has invited his U.S. counterpart, President Barack Obama, to visit Russia.

Russian President Vladimir Putin has invited his U.S. counterpart, President Barack Obama, to visit Russia, Kremlin spokesman Dmitry Peskov said on Tuesday.

During a telephone conversation on Tuesday, Putin congratulated Obama on his reelection and invited him to visit Russia, Peskov told local media.

Putin and Obama "reaffirmed their commitment to further develop bilateral relations in all spheres, including the economic component," the Russian Itar-Tass news agency quoted Peskov as saying.

Obama thanked Putin and said that he was ready to visit Russia sometime in the future -- after a date could be set via diplomatic channels, according to the spokesman.

Following Obama's victory in the U.S. presidential election last week, Putin made a high assessment of the success and achievements in Russia-U.S. relations in the past years, said the Kremlin.

It added that Putin expressed hope for further constructive, joint work over bilateral, regional and international problems, and hailed the cooperation between the two countries as something of critical importance to the world's stability and development.