The security alert in the Limavady Road area of Derry has now ended.
Army bomb disposal experts examined a package delivered to the offices of the Public Prosecution Services.
A police spokesperson said the package was a viable letter bomb type device similar in make to the two devices discovered on Friday.
The spokesperson said the device had been removed for further examination.
SDLP Foyle MP Mark Durkan has condemned those responsible for the attack.
Mr Durkan said: “Once again we have yet another example of the disruptive impact of the violent efforts of so-called dissident groups.
He said: “Those responsible for leaving this device have shown complete and utter contempt for the people of Derry. They are out to destroy, and don’t care if they injure or kill anyone in the process.
“This callous and dangerous act flies in the face of the efforts made by so many people to improve life here. Thankfully, no-one has been injured but those graces are no thanks to those who were behind this attack.”
Sinn Féin Waterside Councillor Bridget Meehan said the posting of the device was a “very worrying development” and no doubt would have caused great concern to members of staff there and local postal staff.
Pointing out the incident followed alerts in the Top of the Hill area on Saturday and last week’s incident at Charlotte Street, Cllr Meehan said such incidents served no purpose and those responsible needed to come forward and explain to the people of Derry “what the point of all this is?”
The letter bombs intercepted on Friday had been addressed to PSNI Chief Constable Matt Baggott and Derry Chief Inspector Jon Burrows.
The spokesperson said police would continue to ask members of the public to remain vigilant when opening their mail and anyone who notices anything suspicious should contact the police immediately.
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