However, opposition MSPs noted that after the email had been sent, the COPFS had told journalists that details of the indictment could not be published until a preliminary hearing.
The Conservatives have demanded that the lord advocate’s dual role be scrapped, saying it poses a conflict of interest, while Labour have called for an investigation into whether Bain misled parliament.
Scottish Conservative leader Russell Findlay accused the SNP of operating a “two-tier” justice system.
He said: “The lord advocate must return to parliament and give a full statement and straight answers to many outstanding questions.
“And this surely sounds the death knell for the lord advocate’s dual role.”
Meanwhile, Scottish Labour’s deputy leader, Jackie Baillie, said the document release “raised far more questions than it answered”.
She said: “The people of Scotland deserve transparency from our government and they need to know that all criminal cases are handled impartially and without political interference.”
Murrell, the estranged husband of former first minister Nicola Sturgeon, stepped down as SNP chief executive in 2023 after more than two decades in the role.
He was charged with embezzlement in April 2024.
He is accused of embezzling £459,000 between August 2010 and January 2023 and of making illicit purchases of luxury goods, two cars and a motorhome using party funds.