Asked about the Kremlin's claim, Sanders said that Trump had mentioned a "number of potential venues, including the White House", and didn't comment further.
White House Press Secretary Sarah Huckabee Sanders, responding to Russian media reports that Trump had extended an invitation to Putin, said, "As the president himself confirmed on March 20, hours after his last call with President Putin, the two had discussed a bilateral meeting in the "not-too-distant future" at a number of potential venues, including the White House".
World leaders meeting with much to discuss when diplomatic tensions are high isn't necessarily bad, and Putin has not been to the White House since 2005.
On Monday, Kremlin aide Yuri Ushakov said Trump floated the idea of inviting Putin during that call - which came at the height of outrage among USA allies at the attempted killing on British soil.
Then U.S. President congratulated Putin on his victory in the presidential election.
Some Republican lawmakers criticized Trump for making the congratulatory call to Putin.
Telephone conversation trump and Putin was initiated by the American side.
White House welcomes are typically reserved for friends and allies.
Moscow responded by sending home 60 U.S. diplomats and closing Washington's consulate in Saint Petersburg. Kurt Volker, U.S. Special Representative for Ukraine, informed about the preparation to the meeting.
Tensions also continue with the United States investigation into alleged meddling by Russian Federation in the 2016 presidential election.
Vanessa Trump, right and Donald Trump, Jr., left, together with their family at the 2018 White House Easter Egg Roll. Aslund notes that Trump seems "excited" by the idea of meeting with Putin.