The malware encrypts important files on infected computers and demands a ransom of $300 to restore access to them.
Victims have been advised by security experts not to pay up.
Speaking on BBC Radio's Good Morning Scotland programme she said she expected computer networks "by and large" to be up and running on Monday morning, but urged organisations to follow government guidance and take appropriate security steps.
Officials say they're aware of those problems.
Victims ranged from Renault auto plants in France to the FedEx delivery company in the United States, as well as Russia's interior ministry and Chinese universities.
Writing on the company's website, Microsoft's president and chief legal officer Brad Smith gave a post-mortem of last Friday's "WannaCrypt" cyber-attack, which spread across the world thanks to a database of exploits stolen from the US' National Security Agency (NSA).
Becky Pinkard, from Digital Shadows, a UK-based cyber-security firm, revealed it would be easy for the initial attackers or "copy-cat authors" to change the virus code so it is hard to guard against.
It compared it to the U.S. military having some of its Tomahawk missiles stolen.
Europol said on Monday it was continuing to hunt for the culprits behind the unprecedented attack.
"We have one likely incident which is being investigated but we believe there could be more out there".
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Microsoft has stated that it "released a security update which addresses the vulnerability that these attacks are exploiting" in March.
European governments and companies appeared early today to have avoided further fallout from a crippling global cyberattack, the police agency Europol said. Applying software patches is done by the vendors who supply the ATM and according to Bhoi, this can be done remotely and usually the vendors run their tests on the patch before an update.
Russian Federation had nothing to do with a massive global cyberattack, President Vladimir Putin said Monday, calling for urgent consultations on countering the hackers.
A spokesman from Fife said there was no evidence that patient data had been compromised, however revealed an area of contamination had been identified in its system on Friday.
"We are continuing to experience some technical issues at the moment".
"Once they're let out of the lamp, genies of this kind, especially those created by intelligence services, can later do damage to their authors and creators", he said.
In a joint letter to the Health Secretary, the Care Quality Commission's Chief Executive David Behan and the National Data Guardian, Dame Fiona Caldicott, warned of the urgent need to update unprotected computer systems.
A source familiar with the matter said the ministry did not lose any information in the attacks.
A statement by the Trust on social media says: "We appreciate this situation is causing frustration and anxiety for our patients, but we would like to reassure patients that we will be in touch with them to re-arrange appointments once our IT system is restored".