It seems that Wragg has gone to the police to report the Whips’ office.
Mr Wragg, Conservative MP for Hazel Grove, said the threats could amount to "blackmail" and urged colleagues to report them to the police.
He was immediately backed by the Commons Speaker, Sir Lindsay Hoyle, who said allegations about potentially criminal offences would be a matter for the police.
Mr Wragg confirmed on Friday that he had arranged to meet with a detective from the Metropolitan Police in the House of Commons early next week.
Mr Wragg said that he would briefly tell the detective "several" examples of bullying and intimidation, in some cases involving public money.
He told The Telegraph on Friday that he wanted to leave any investigation of these claims "to the experts" rather than No 10.
He said: "I stand by what I have said. No amount of gas-lighting will change that.
"The offer of Number 10 to investigate is kind but I shall leave it to the experts. I am meeting the Police early next week."
Regarding the blackmail claims, a Metropolitan Police spokesman said: "As with any such allegations, should a criminal offence be reported to the Met, it would be considered."
Apologies to Clav for trample on her turf.