"Most of these works will be completed over the weekend, but in some cases there will be minor disruption to IT services as works are completed and systems are brought back online".
It is understood the number of systems affected at each of the Scottish health boards fell into single figures - bar NHS Lanarkshire where more machines were affected.
The U.K. National Health Service (NHS) was among the worst hit organisations, forcing hospitals to cancel appointments and delay operations as they could not access their patients' medical records.
Companies around the globe are preparing for an imminent cyber attack as the offices re-open on Monday, media reports said.
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A computer virus known as WannaCry or WannaCrypt has so far spread more than 150 countries, including Turkey, but showed signs of slowing down on Monday. Questions have been raised over Trident's vulnerability to potential cyber attacks, as the system is believed to use ageing Window's XP software - the same operating system targeted by the global ransomware attack.
Riverbank IT Management managing director Malcolm Newdick said: "Last week's ransomware attack was the most unsafe malware attack we have seen".
The news came after staff at Europe's biggest hospital were warned on Monday not to switch on their computers as the NHS battled to recover from the crisis.
Microsoft released security updates last month to address the vulnerability, with another patch released on Friday.
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Problems with cyber security in the NHS was highlighted past year by Dame Fiona Caldicott, the national data guardian, who warned issues were given insufficient priority and that health bodies persisted in using obsolete computer systems, The Times reported.
The Russian Interior Ministry and Health Ministry also said earlier in the day that they have "repelled" such attacks as the virus was promptly detected and localized, according to Russian news agencies.
This week NHS bosses and the Government were facing questions over why hospitals and Global Positioning System had been left vulnerable.
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