Both outlets say the incident happened in the 1990s, which puts it outside California's 10-year statute of limitations for sexual assault.
The Santa Monica Police Department did not respond immediately to USA TODAY's request for comment.
Stallone's attorney, Marty Singer, told USA TODAY in an email his client "categorically disputes the claim and it is apparent that the woman filed the report to get a media outlet to publish the story."
Singer said the woman had been trying for over a month to get an unnamed media outlet to publish a story saying she was allegedly raped in 1987 and again in 1990.
"A month ago, after the woman was notified that the publication was not willing to publish her story, she filed a police report alleging a rape that occurred 27 years ago," he explained. "There would be no reason to file such a report since she knew that it was too old a claim. However, she wanted a story published. Notwithstanding that, she filed a police report, (and) the media outlet refused to publish the story. "
Singer added that he'd told the police they would be filing a claim against her for filing a false police report.
In mid-November, Stallone was accused of sexually assaulting a 16-year-old girl in Las Vegas while shooting a movie there in 1986. He would have been 40 at the time.
“This is a ridiculous, categorically false story," said Michelle Bega, spokeswoman for Stallone, said in November regarding the first accuser. "No one was ever aware of this story until it was published today, including Mr. Stallone. At no time, was Mr. Stallone ever contacted by any authorities or anyone else regarding this matter.”