Tauranga-based Rudd admitted possession of a small amount of cannabis, located at his address, the summary stated.
The Crown case against Rudd was released after applications from media to view the court file.
The content was a summary of the facts of the case agreed between the Crown and Rudd's lawyers.
It stated that the phone call made to the former employee happened on September 26 this year and said Rudd "threatened to kill the [complainant] and his daughter".
Police said the "phone call is consistent with a phone call made by [Rudd] earlier that morning to a business associate in which [Rudd] spoke about what he wanted done to the [complainant]".
Rudd is facing charges of threatening to kill and possession of methamphetamine. He has pleaded not guilty to both charges.
Watch: Phillip Rudd handcuffed by police
Yesterday he was arrested by police outside Tauranga Girls' College after an altercation.
His lawyer said outside court that Rudd had had a "chance meeting" with someone he was barred from contacting under his previous bail conditions.
No charges were laid over yesterday's incident.
The drummer left court mumbling something unintelligibly at the media before being driven away in a dark blue F-Type Jaguar.
Rudd is due back in court on February 10 for a case-review hearing.
The arrest of the drummer has attracted global attention and a focus on his sports car and rock star lifestyle in the usually sleepy Bay of Plenty city.
A charge of attempting to procure murder was dramatically dropped a day after he appeared in court.
