"I certainly think it's a legitimate area of inquiry" for congressional investigators to pursue, Cornyn told CNN.
The same documents that disclosed the meeting show Papadopoulos has pleaded guilty to lying to the Federal Bureau of Investigation about his contact with Russians during the 2016 campaign.
Page also told Tapper that he was not in the March 2016 meeting where Papadopoulos initially suggested the Russian Federation meeting. Revelations that the attorney general was previously in a meeting with former Trump campaign aide George Papadopoulos and was told about Page's trips to Russian Federation have been raised by lawmakers as a subject of further inquiry.
Sam Clovis was the first of President Trump's nominees to withdraw from consideration after he was among the names of President Trump's campaign officials involved with Special Counsel Robert Mueller's Russian Federation probe.
"This is another example in an alarming pattern in which you, the nation's top law enforcement officer, apparently failed to tell the truth, under oath, about the Trump team's contacts with agents of Russia", Senate Judiciary Committee member Al Franken, D-Minn., wrote Thursday in a letter to Sessions.
Franken asked Sessions during his confirmation hearing on Jan 10 what he would do "if there is any evidence that anyone affiliated with the Trump campaign communicated with the Russian government in the course of this campaign".
However, CNN reported on Thursday that John Cornyn, the second-ranking Senate Republican, who serves on the intelligence and judiciary committees, said that he had been unaware that Sessions was at the meeting.
A source close to Sessions defended the attorney general, promising he "has been entirely truthful and consistent on this matter".
Leahy echoed that concern, saying Papadopoulos' account was "impossible to reconcile with the attorney general's appearance before the [Senate] Judiciary Committee just two weeks ago".
"Attorney General Sessions should come back before Congress and answer questions in light of recent revelations", said Senator Ron Wyden.
Under pressure, Sessions later recused himself from the Department of Justice investigation into Russian interference in the 2016 election.
"The attorney general needs to explain to our committee what are the obvious implications of his presence at that meeting, and how he can square that with his testimony to our committee", said Sen.