More than 125,000 computer systems were infected due to Friday's attack.
UK security researcher "MalwareTech", who helped to limit the ransomware attack, predicted "another one coming... quite likely on Monday", BBC reported.
Spain, France and Russia were among more than 90 nations that were hit by the cyber attack.
The malware, known as WannaCry, was also affected the United Kingdom's National Health Service (NHS).
Pundits have suggested that the WannaCry malware spreads via a worm and has the ability to move around a network by itself, exploiting vulnerabilities inside a system upon entering it.
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