You have the Stored Communications Act, the Patriot Act, the Cloud Act, FISA, and so on. Most of which don't require warrants if it is about non-citizens. Which is then shared, through Five Eyes and similar agreements, with foreign countries, so a workaround for not needing warrants in the target country. This is what I commented about, data sharing with the services in my country. Of course Chinese intelligence agencies will share info with the Chinese police, but they don't share with police in the EU.
Again, the root problem of course is that there is any data to share in the first place.