According to Paul, the letter "emphasized the importance of further engagement" between Washington and Moscow "in various areas including countering terrorism, enhancing legislative dialogue and resuming cultural exchanges".
A White House official told CNN that Paul wanted this letter from Trump in hopes of setting up a meeting with Putin during his trip to Moscow this week.
But Dmitry Peskov said Wednesday that the letter has not yet been examined by the Kremlin.
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"At Senator Paul's request, President Trump provided a letter of introduction.
The White House is drafting an executive order that would authorize President Trump to sanction foreigners who interfere in US elections, the administration's latest effort to demonstrate it is serious about combating Russian disinformation and hacking.
The president has called special counsel Robert Mueller's investigation into possible ties between his campaign and Moscow a "witch hunt". The person who provided the document to POLITICO obtained it from Russian officials who described it as what Putin had conveyed to Trump in Helsinki. Trump invited Putin to D.C. this fall.
Paul is on a trip to Russian Federation to improve relations. Putin shared the contents of the document with Trump during their two-hour conversation, according to a US government adviser who provided an English-language translation.
Trump wants to ease tensions between the former Cold War foes and has been solicitous of the Russian strongman despite the United States intelligence community's unanimous conclusion that the Kremlin meddled in the 2016 USA election and was also targeting the upcoming midterms.
At a rally in OH last weekend, the president said other countries are trying to interfere in USA elections, suggesting that China, Iran and North Korea could be responsible in addition to Russian Federation.