Kent Community Health Trust, which runs community hospitals and minor injuries units across the county, was not a victim of the attack, but reportedly shut down its digital servers as a precautionary measure - causing disruption despite not being affected directly.
Australia and New Zealand appeared to have escaped largely unscathed as they woke up for their first business day since a massive ransomware worm hit thousands of computer systems around the world, disrupting operations at hospitals, shops and schools.
Meanwhile, HSE chief Tony O'Brien urged caution.
"You are dealing with a criminal", he said. "The impact of this on Ireland has been limited thus far, but this may change as the situation evolves".
The move followed the ransomware attack on NHS computer systems. "Organisations across Australia have been taking active steps to protect their networks over the weekend", the statement said.
"The National Cyber Security Centre and the NCA (National Crime Agency) are working with Europol and other global partners", said Rudd.
"It started its assault against hospitals across the United Kingdom and shortly after spilled across the globe", the agency said.
The following screen pops up when people have been hacked by the "Wannacry" virus.
Beyond that, the NHS must try to protect its systems from future attacks.
"We have been concerned for some time that the healthcare sectors in many countries are particularly vulnerable".
'There have also been other reports made to our online cyber security network and the difficulty is of course there are literally hundres of instances of ransomware in Australia each week and so we are now seeking to confirm whether these are examples of the particular ransomware that has cause so much havoc for example in the United Kingdom'. "You never know that they're going to do what they promise anyway", Wainwright said.
"On Monday morning at the start of the new working week, it's likely that successful attacks from Friday that haven't yet become apparent will become apparent", he said. It locks down all the files on an infected computer.