[safety1st]

It really only takes the EU and US agreeing that something is bad. Together they represent a huge chunk of the imports of nearly every sector of the global economy. In practice that is what globalization largely is - other countries producing stuff that the US and EU buy.

If you manufacture a chemical and the US and EU both decide that chemical is banned and can't be imported, your business may very well be toast, and you will have a large incentive to produce stuff that they want instead. This doesn't necessarily even take legislation as the relevant governments have a variety of ways they can apply tariffs, disincentives etc. to stuff they don't like.

[messe]

It doesn’t even take both agreeing necessarily. In many cases just either one of the EU or the US legislating something is sufficient financial incentive to follow the same rule globally.