Law has said he “never bid on EMI with any group nor did I ever do a business deal with Epstein,” and said he did not know the former prince.

The giant private equity firm KKR declined to comment. At the time KKR had a controlling stake in a rival record company, BMG.

Stern was apparently still keen on acquiring a record company in 2011. He wrote: “EMI may now come up for sale. Could actually be of interest to Chinese if structured properly. Also, most certainly great asset to have for P!”

However Epstein did not buy it then either.

In November 2011, Citigroup split EMI into two parts and, the following year, sold it to Universal and a consortium involving Sony and record executive David Geffen.

The DOJ files show other discussions between Epstein and associates about buying model agencies and fashion-related businesses, which also did not go ahead.

French prosecutors have previously suspected that Epstein used his contact in the fashion industry, Jean-Luc Brunel, to house and transport young girls.