The Sunday Times, which first reported the story, cited emails from the Epstein files that appear to detail arrangements for the then prince Andrew to stay with the late convicted sex offender in December 2010, along with his two protection officers from London's Metropolitan Police force.
In an email sent the night before the event with the subject line "Security for party", a staff member informed Epstein the two officers had been given "instructions on the door".
The reports come after police said on Friday they were contacting former protection officers who worked for Andrew Mountbatten-Windsor, urging anyone with allegations of sex offences relating to Epstein to come forward.
Police said they have not identified any wrongdoing by the protection officers at this stage. Asked to respond to Sunday's reports, the Metropolitan Police said it had no further comment.
Mountbatten-Windsor was arrested on Thursday on suspicion of misconduct in public office, spending 11 hours in custody on his 66th birthday, after allegations he shared sensitive information with Epstein during his time as the UK's trade envoy.
It comes as the Prince and Princess of Wales made their first joint public appearance since the arrest, attending the BAFTA awards in London on Sunday evening.
The royal couple chatted to representatives from BAFTA and the Southbank Centre, with William conceding he had yet to see the acclaimed British film Hamnet.
"I need to be in quite a calm state and I'm not at the moment," he said.
"I will save it."
Thames Valley Police continued to search Mountbatten-Windsor's former mansion in Windsor on Sunday and are expected to continue on Monday.
Mountbatten-Windsor has always denied any wrongdoing in relation to Epstein, and said he regretted their friendship.
In 2022, the royal settled a civil lawsuit brought in the US by the late Virginia Giuffre, who accused him of sexually abusing her when she was a teenager at properties owned by Epstein or his associates. He has denied ever meeting her.
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