A Broken Hill man accused of stealing from ATMs and committing other fraud worth nearly $1 million has had stricter bail conditions imposed upon him.

NSW Police charged 32-year-old Lyndon Jake Pace last month after $700,000 went missing from ATMs in Broken Hill. Police allege he accessed $375,000 of the money through his employment and deposited it into various accounts.

Police are still investigating the whereabouts of the remaining allegedly missing money.

The matter was listed in Broken Hill Local Court on Tuesday, where the court heard Mr Pace was also facing two other fraud-related charges under the name Lyndon Jake Rogers. The three charges amount to alleged fraud totalling nearly $1 million.

It remains unclear which banks have been affected.

Mr Pace's defence lawyer applied for an easing of bail conditions to allow him to attend specialist medical appointments interstate in Adelaide. Magistrate Jillian Kiely rejected the application because no medical evidence was presented and instead imposed stricter bail conditions on the accused.

"I have regard to the fact that there are three very serious sets of charges before the court which contain very serious allegations of fraud," she said.

"These are very serious offences... close to $1 million in fraud. The location of money has not been frozen in the accused's bank account. There is a real risk of flight."

The court heard Mr Pace had recently attempted to board a flight to Adelaide and was removed by police, but was then allowed to board the aircraft with a return ticket to Broken Hill.

"He tried to go interstate by way of flight, which provides links to a South Australian airport which has the capacity for international flights," Ms Kiely said.

Mr Pace must report daily to Broken Hill Police Station, must not leave NSW, must surrender his passport, must not go near international departure points, and must not contact any prosecution witness or anyone who owes him money.

The court heard Mr Pace was currently in Victoria for work. His defence applied for the bail conditions to commence tomorrow to allow Mr Pace to return to Broken Hill.

All three matters have been adjourned until 23 September.