"As we look at these allegations, the President of the United States should not be inviting Russia into the G7 or G8," Schiff said. "We should be considering what sanctions are appropriate to further deter Russia’s malign activities."
Schiff said he appreciated the White House decision to brief lawmakers on the matter, but noted that the "right people" were not in the room, referring to top CIA or NSA officials not being present at the briefing.
"We need to hear from the heads of the intelligence agencies about how they assess the allegations," Shiff said.
Meanwhile, three Democrats in the US Senate in a letter have requested US Secretary of State Mike Pompeo and Secretary of Defense Mark Esper to testify on the same allegations.
"Given the grave nature of these allegations, we request that you appear before the Senate this week to address these questions," according to the letter sent to Pompeo and Esper by Senators Robert Menendez, Jack Reed and Richard Durbin.
On Friday, the New York Times ran an article citing unnamed intelligence officials as saying that Trump had been presented with an intelligence report claiming Russia could have paid bounties to Taliban-linked militants to assassinate US and coalition troops in Afghanistan.
Trump has said that neither he not Vice President Mike Pence received a briefing on the issue because the US intelligence community said the allegations were not verified or substantiated. Trump called the story another attempt at a Russia hoax to make Republicans look bad in an election year.
Russian officials have denied all allegations as false and characterized them as being part of the internal political infighting in the United States.
Kremlin spokesperson Dmitry Peskov said on Tuesday that the Russian and US governments have not been in contact regarding the US corporate media allegations.