But Magistrate Peter Morrison refused Shannon David Degioannis bail on Monday on the grounds he could pose a risk to the woman.

Degioannis, 36, was rearrested at Canberra jail on Saturday as he was being released after serving nine months for reckless wounding.

He was charged with threatening to kill his former partner and her new partner.

The prosecution opposed a bail application by Degioannis when he appeared in the ACT Magistrates Court on Monday.

Prosecutor Sarah McMurray argued Degioannis posed a risk of interfering with witnesses, not attending court, committing further offences, and endangering the welfare of those he allegedly threatened.

The court heard Degioannis had allegedly told jail staff that he was engaged to the woman, although she claims they split in late 2013.

A letter in which Degioannis allegedly threatened to kill the woman and her new partner was found in his cell before release, the court heard.

But it was never sent to the woman.

The defence argued the letter had been an attempt by the defendant to purge his emotions, but did not send it to the woman.

Degioannis's lawyer said a protection order, served on her client, and bail conditions could mitigate any perceived risks.

Mr Morrison did not request further submissions from the prosecution, instead refusing the bail application.

The magistrate noted the defendant had a significant history of violence and breaching court orders.

He said the prosecution case appeared strong and the alleged offence were said to have occurred while he was serving time for violence.

Mr Morrison said evidence indicated Degioannis had not accepted that the relationship had ended and could not be satisfied that bail conditions could prevent further offending or harassing the woman.

The defendant was remanded to reappear later this month.