From the Terms and Agreements:
16.3 You agree that we can use your personal data in connection with the Card, and the e-money associated with the Card, to contact you about replacement Cards, and to enable us to review, develop and improve our products and services. This may involve providing your personal data to our partners, affiliates, agents, distributors, and suppliers including PayPal and to MasterCard International Incorporated and its affiliates to process Transactions and for their statistical research and analytical purposes. We may share your personal data with PayPal for direct marketing purposes. By submitting your personal data to us you agree to us sharing your personal data with PayPal for direct marketing purposes and to PayPal contacting you with marketing material by post, phone, fax, email and electronic messaging services such as SMS or MMS. PayPal will process your personal data in accordance with its Privacy Policy available at www.paypal.co.uk/accesscard. If you do not wish to receive any marketing material from PayPal, please select 'Marketing Opt Out' in MyAccount or contact Customer Services (fees may apply, see paragraph 10) or you may contact PayPal directly in accordance with its Privacy Policy. We may also transfer your personal data outside of the EEA to enable you to use the Card while you are travelling, and such countries may not offer the same protections for personal data. We may also disclose your personal data as required by law, regulation or any competent authority or agency to investigate possible fraudulent, unlawful or unauthorised activity.
Here's a link to the entire document:
https://www.paypal.com/uk/webapps/mpp/accesscard-terms
