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Lord Charlie Falconer has been promised access to Labour HQ’s email archive as part of a proposed investigation into the party’s response to anti-Semitism.

But the former Labour Justice Secretary has yet to accept the role, despite assurances from General Secretary Jennie Formby that he will have full access to the archive.

The Labour peer has reportedly demanded such access as a condition of overseeing the review of how the party deals with anti-Semitism.

One senior Shadow Cabinet Minister told the Mirror he would get “anything he asked for”.

It comes after Wirral Labour councillor Jo Bird was suspended over a recording of her making a joke about "Jew process" at a meeting of splinter group Jewish Voice for Labour.

Referring to members being suspended over anti-Semitism in the party, she joked that "due process" should be renamed "Jew process".

A party spokeswoman said: “The Labour Party takes all complaints of anti-Semitism extremely seriously and we are committed to challenging and campaigning against it in all its forms.

“All complaints about anti-Semitism are fully investigated in line with our rules and procedures and any appropriate disciplinary action is taken.”

(Image: PA)

Ms Formby addressed Labour MPs today at their weekly meeting.

While one Shadow Cabinet Minister said it was a “very positive and constructive engagement” others were less enthused.

Margaret Hodge said it was a “difficult interaction” and that nobody had spoken positively in response to her appearance - though she accepted the meeting was “not very well attended.”

It follows reports of a shake-up of the party’s compliance unit, which deals with anti-Semitism complaints.

It’s understood Laura Murray, a Corbyn loyalist and aide who is the daughter of Andrew Murray, one of the Labour leader’s closest allies, was today seconded to the unit in an administrative role.

Ms Hodge said: “I have absolutely no trust in the current system.”

She added that if the Party’s leadership wanted to build trust, it was “not very sensible” to appoint someone with such close links to the Leader’s office to the role.

Another Labour MP, leaving the meeting, said Ms Murray’s appointment “puts a major question mark on whether the people running this organisation understand the concerns.”

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There were also concerns for the future of Jewish Labour Movement, which has been affiliated with the party for almost a century.

Ms Hodge said the group, which has traditionally delivered training on anti-Semitism for party members was “not mentioned” as a potential trainer going forward.

The group will meet on Wednesday in both London and Manchester and is expected to discuss whether to disaffiliate from the party, but not to vote on the matter.

Ms Hodge said: “Disaffiliation is a huge concern for people like me. I need their support.”

Another Labour MP, speaking outside the meeting, said the atmosphere was “quieter than before, but still concerned.”

“She was talking about right-wing anti-Semitism,” they said. “She’s still said anti-Semitism in the Labour Party is a small percentage, which is completely beside the point. I’m not interested in percentages, I’m interested in what’s happening.

“I don’t think she’s learned anything.”

Of Ms Murray’s reported appointment, the MP said: “The Party’s failure to deal with anti-Semitism is a political one. I suspect these are political friends who find it impossible to discipline someone in their group.”

They added: “It puts a major question mark on whether the people running this organisation understand the concerns.”