"The government of Saudi Arabia owes the Khashoggi family and the world a full and honest explanation of everything that happened to him, and we support the requests from Jamal's family and the United Nations for an independent international investigation," Ryan said.
"The Saudi government can no longer remain silent, and it is essential that our own government and others push harder for the truth. Until we have a full account and full accountability, it cannot be business as usual with the Saudi Government."
Sen. Jeff Flake, R-Ariz., called on Treasury Secretary Steven Mnuchin to cancel an upcoming planned trip to Saudi Arabia.
Sen. Lindsay Graham, R-S.C., a Trump ally, told reporters Tuesday that, "I believe this man was murdered."
"I don't think it was a rogue event. Things like that are not rogue," Graham said. "It seems to be a lot of planning went into it. The crown prince is very schizophrenic; one minute he's talking about a new Saudi Arabia, and the next minute he's throwing half his family in jail."
Graham said that the future of American and Saudi relations on the heels of the incident is "up to the Saudis."
"I don't expect to be doing business as usual," he said. "This is in your face, this is a lack of respect for our relationship, this is an affront to every value we embrace, extra-judicial killing, killing somebody for being a critic. Freedom of the press means a lot to us here in the United States."
"We deal with imperfect people all the time, but I cannot imagine a more blatant example of contempt for a relationship than this," Graham said. "So until something new happens in Saudi Arabia I have no interest in engaging with this government."