"I think this is a well-justified reason (to play hockey) ahead of the new year", said Mr Putin.
Russian president Vladimir Putin has extended an invitation to US president Donald Trump to discuss policy between the two nations in 2019.
"Russian-US relations remain an important factor in order to guarantee strategic stability and worldwide security", the presidency said in a New Year statement.
Russian President Vladimir Putin has sent New Year messages to President Ram Nath Kovind and Prime Minister Narendra Modi, and said relationship between the two countries was developing in a constructive and dynamic manner.
Vladimir Putin "has confirmed that Russian Federation is open to dialogue with the United States on the maximum number of subjects", the official statement added.
According to a report from AOL, Putin wants to discuss the United States' plan to withdraw from a nuclear arms deal made during the Cold War.
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In late November, Trump suddenly abolished the scheduled meeting with Putin at G20 Summit in Argentina, referring to the tension around the capture of Ukrainian warships by Russian Federation.
Russian Foreign Minister Sergei Lavrov was quoted as saying that now it was up to the United States whether to hold a new meeting in 2019.
The message to Trump was among dozens of holiday greetings Putin sent to other world leaders, each tailored to reflect a bilateral theme.
"(Putin) stressed that Russian Federation will continue to provide all-round assistance to the government and people of Syria in their fight against terrorism and efforts to protect state sovereignty and territorial integrity.
In 2018, the Russia-China comprehensive strategic partnership of coordination reached an unprecedented level with substantiated political dialogues and rapidly expanding two-way trade, Putin said.
The US President pinned the cancellation on Russia's refusal to release Ukrainian Navy ships and sailors seized during a maritime confrontation between the two countries on November 25.