The pornographic film actress who says she had an affair with President Trump offered on Monday to return $130,000 she received from Mr. Trump’s personal lawyer in 2016 for agreeing not to discuss the alleged relationship.

In exchange, the actress, Stephanie Clifford, seeks an end to her deal to keep quiet about what she says was an affair with Mr. Trump that started in 2006 and lasted for several months.

In the letter, which was sent to Mr. Trump’s personal lawyer, Michael Cohen, early Monday, Ms. Clifford’s lawyer, Michael Avenatti, wrote that Ms. Clifford would wire the money into an account of Mr. Trump’s choosing by Friday.