Both panels are investigating various aspects of Russian interference in the presidential campaign.
Page's comments provide the latest confirmed contacts between members of the Trump campaign and Russians during the presidential race.
Page said Trump advisers were aware of his July trip to Russian Federation, including Gordon, Corey Lewandowski and Hope Hicks, who now serves as the White House communications director.
The New York Times first reported that Page notified campaign officials about his meetings in Moscow, but the transcript, which is more than 200 pages long, discloses the names of those advisers - Tera Dahl and J.D. Gordon - and the identity of the Russian official, Dvorkovich.More news: Florida State University student dead after apparent party
Tapper was asking Feinstein about revelations this week that former Trump campaign adviser George Papadopoulos told the Federal Bureau of Investigation that he was in talks with a London-based professor with Kremlin connections who claimed in April 2016 to have learned that the Russian government had "dirt" on Hillary Clinton in the form of "thousands" of her emails.
"In April, [former Trump campaign adviser George Papadopoulos] met with a professor who promised "dirt" on Hillary Clinton from the Russians - have you seen any evidence that this 'dirt, ' that these emails were ever given to the Trump campaign?" Page's testimony also revealed that more campaign staff members were aware of his July 2016 trip to Russian Federation than had previously been disclosed, including Jeff Sessions, who is now the attorney general.
Page addressed some of the questions about those trips in more than seven hours of testimony last week to the House committee.
Page had consistently maintained that his trip to Moscow was to give a speech at a university.More news: Former Trump adviser Roger Stone suspended from Twitter…again
The two men had a brief interaction at the commencement ceremony, where Dvorkovich also spoke, Page said.
Asked about his email indicating he had discussed Trump's campaign in a private conversation with a Russian official, Page responded to The Washington Post via text message: "That is complete misinformation and/or misinterpretation".
"They're focused on criminal investigations, we're focused on armchair quarterbacking - making sure every witness has been seen, every fact has been checked - and we're going through the policy aspects", Lankford said.
"Number one, there could be risks that the information is not comprehensive", said Page, under questioning from the panel's top Democrat, Adam Schiff of California. After the reports, Sessions acknowledged the meetings and went on to recuse himself from investigations related to the 2016 campaign. He denies any wrongdoing and says that he has been the subject of a witch hunt.More news: Heavy winds and rain leaves thousands without power in the midstate
Schiff said it's impossible to say whether Russian interference in the election almost a year ago is the reason Republican Donald Trump won the presidency over Democrat Hillary Clinton.