Under EU data protection law data subjects can ask search engines to de-reference, or delist, results relating to them in certain circumstances. When agreeing to such a request, however, search engines are not required to delist results from results displayed to all their users across the world, the EU's highest court has ruled.
https://www.pinsentmasons.com/out-law/news/search-engine-duties-under-eu-data-protection-laws-clarified