The package delivered to the Elysee palace contained “a piece of a finger, a fingertip it seems,” the prosecutor’s office told CNN on Thursday.
Police opened a case for a “threat of a crime or offence against an elected official” as of Monday, it also said.
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The fingertip is believed to belong to the sender, according to reports.
In the past year, Macron’s government has struggled to ease public anger over a controversial pension reform plan, and then following the police killing of a teenager in the outskirts of Paris.