The head of the HSE has warned the impact of the cyberattack will be felt for many, many weeks.
It comes as Bloomberg reports the hackers have given the HSE a deadline of Monday to pay a $20 million ransom.
The attack has resulted in thousands of cancelled appointments, with outpatient activity down by up to 80% per day.
At a HSE press conference this afternoon, CEO Paul Reid says the response to the attack was immediate and comprehensive.
He said: "We have secured some of the best expertise in terms of cybercrime internationally.
"They're working with us, assessing the impact on the network, and assessing the impacts and damage done across our whole network."
Meanwhile, Communications Minister Eamon Ryan said the Government is putting systems in place for people to report if their data has been published.
Speaking in the Dáil, the Green Party leader said: "We are going to establish a helpline - a confidential crime-line type system.
"We've to be careful around some of the rumours about this... but if anyone is approached by anyone claiming that they have medical or any other relevant data, the Government will be providing details of this [helpline] later."
