Police opposed Trevor Arthur's bail application in the Bendigo Magistrates' Court on Thursday, saying he posed an unacceptable risk of offending if released from custody.

Mr Arthur, 40, was refused bail on Christmas Eve, but his lawyer Julia Breheny argued more information about his health concerns had since came to light, which warranted his release.

More court news: Man arrested after alleged burglary involving firearm

The court heard Mr Arthur had been to referred to a cardiologist at the Royal Melbourne Hospital for an appointment on January 12 after a suspected angina attack, and he had possible bleeding in his digestive tract.

Police prosecutor Senior Constable Martin Friend said he had made enquiries with the Melbourne Assessment Prison, where Mr Arthur was in custody, and there were processes to ensure he met any necessary medical appointments.

However, magistrate Patrick Southey said he did not share the prosecutor's faith in government bureaucracy.

Ms Breheny said Mr Arthur did not see a doctor during two weeks in isolation, and he was due for a blood test on Thursday but still had not undergone it by the early afternoon, which was evidence the system was not working as it should.

She said his health concerns were "alarming" and needed to be viewed through Mr Arthur's status as an Aboriginal man.

Mr Arthur is accused of breaking into a room occupied by two guests of the Shamrock Hotel in Pall Mall.

More court news: Car park argument ends in bingle, man fined

Senior Constable Christopher Congram told the court Mr Arthur allegedly accessed the room through an alley and a set of external stairs between 9am and 2pm on the day of the crime.

He is accused of stealing items that included a 100 ml bottle of La Mer moisturiser, a bottle of Armani perfume, a shaver, a camera, and a pair of running shoes.

Senior Constable Congram said a fingerprint found on the flyscreen frame to the room was matched to Mr Arthur, and he was identified in CCTV footage from the alley.

When police attended his accommodation, which lay about 100 metres from the Shamrock Hotel, they allegedly found perfume of the same sort that was stolen from the hotel guests.

Mr Southey said the police case was strong, although Ms Breheny said there were holes in the case.

Mr Arthur is also accused of contravening bail condition by failing to appear at his bail address when police attended for checks, as well as dishonesty, drug and driving offences in October.

More crime news: Police believe arson offender may have set himself on fire

The court heard Mr Arthur was allegedly involved in the theft of items from Bunnings Epsom and appeared drug-affected when police officers intercepted him in a McDonald's car park.

The officers allegedly found substances believed to be methamphetamine and GHB in the vehicle he was driving.

Senior Constable Congram said Mr Arthur had no regard for the law.

But Mr Southey said Mr Arthur's health outweighed "the risk he clearly possesses" of offending on bail.

He released Mr Arthur on bail under a $500 surety paid by his partner and conditions he live at a set address, obey a nightly curfew, not drive or use drugs, keep all appointments as directed by his mental health worker, and report to police three times a week.

Mr Arthur will return to court on February 17.

More news:

Have you signed up to the Bendigo Advertiser's daily newsletter and breaking news emails? You can register below and make sure you are up to date with everything that's happening in central Victoria.