Cloud consumers who use cloud computing services are obliged to review and monitor the legal compliance of cloud providers who are consigned the processes of the PII (personally identifiable information) from them. This paper presented possible scenarios for cloud PII outsourcing and suggested PIMS (personal information management system) controls for outsourcing management between cloud consumers and cloud providers by analyzing both international standards and domestic certification schemes related to cloud computing and/or privacy management based on the legal obligations for PII outsourcing from Korean "Personal Information Protection Act (PIPA)". The controls suggested can be applicable for developing the guidance of complying with privacy laws in organizations or the checklist of PII outsourcing management in PIMS certification.