Shortly after her 15-minute meeting with the president, Ms. Charles said Mr. Trump proposed that she and her husband meet with Ms. Sacoolas, but Mr. Dunn said that the meeting felt “rushed” and that it would not have gone well.

“The bombshell was dropped not soon after we walked in the room,” Ms. Charles told reporters. “We would still love to meet with her, but it has to be on our terms and on U.K. soil.”

Ms. Charles added that Ms. Sacoolas “needs to come back and face the justice system.”

In talking to reporters on Wednesday, Mr. Trump said he had arranged the meeting at the request of Prime Minister Boris Johnson of Britain.

“He asked me if I’d do that, and I did it,” Mr. Trump said.

But an official in Mr. Johnson’s office, speaking on the condition of anonymity to describe a private conversation, denied that the prime minister had suggested that Mr. Trump arrange the meeting in the way it was eventually formatted. The president brought up Ms. Sacoolas when the two leaders spoke last week, but no plans were completed.

“The prime minister asked the president to do all he could to help resolve this tragic issue,” a spokeswoman for Mr. Johnson said in a statement “The president agreed to work on trying to find a way forward.”