The flags of the European Union fly in front of the European Parliament. Philipp von Ditfurth | dpa | Picture Alliance | Getty Images The European Union is considering rules that would restrict its member governments' use of U.S. cloud providers to handle sensitive data, sources familiar with the talks told CNBC. The European Commission — the EU's executive branch — is expected to present its "Tech Sovereignty Package" on May 27, which will include a range of measures aimed at bolstering the bloc's strategic autonomy in key digital areas. As part of preparations for that package, discussions are taking place within the Commission around limiting the exposure of sensitive public-sector data to cloud platforms provided by companies outside of the EU, two Commission officials, who asked to remain anonymous as they weren't authorized to discuss private talks, told CNBC. As tensions with U.S. President Donald Trump's administration have intensified, there have been calls for Europe to diversify away from U.S.…