The U.S. Secret Service said Sunday it would not have screened the Russians who met with Donald Trump Jr. at Trump Tower in June 2016, despite a claim from President Trump's lawyer arguing the meeting was innocent in nature because Secret Service allowed them in the building.

"Donald Trump, Jr. was not a protectee of the USSS in June 2016," Secret Service spokesman Mason Brayman said in a statement to Reuters. "Thus we would not have screened anyone he was meeting with at that time."

During an interview with ABC News on Sunday morning, Jay Sekulow, a member of Trump's outside legal team, questioned why the Secret Service would've allowed the Russians into Trump Tower if they were ill-intentioned and appeared to cast blame on the agency.

In June 2016, Trump Jr., former Trump campaign chairman Paul Manafort, and Jared Kushner met with a Russian lawyer, Natalia Veselnitskaya, a Russian-American lobbyist, and a translator after they were promised damaging information on Hillary Clinton.

"I wonder why the Secret Service, if this was nefarious, why the Secret Service allowed these people in," Sekulow said. "The president had Secret Service protection at that point, and that raised a question with me."

Trump Jr. admitted he accepted the meeting because the lawyer had information on Clinton.