Is DeepMind an American company? It's owned by Google, but it was founded in, and is still HQed in, the UK, but has offices worldwide. How much appetite do you recon Canada, France, Germany, and the UK have for America's trillion-dollar-club at this point?
Now sure, you could demand any corporations selling in the US, even if not based there, hand over payroll etc. documents and then tax them at whatever the multiplier is to go from that country's salary to US salaries… if you don't mind that means some countries are banned by existing privacy laws from doing business with you, or that even this is easily gamed, or that American exceptionalism is increasingly overstaying its welcome.
I think that the internet is incompatible with late 20th century models of national sovereignty. Globalisation itself isn't the problem, it's that services performed across an international border have a very messy relationship with legal obligations, everything from surveillance obligations[0] to minimum wage laws. This will get worse when robots can be tele-operated from a different nation, blurring the division between service and non-service (primary, raw materials; secondary, manufacturing) labour.
I don't think we here in Europe would mind so much, if Big Tech obeyed local laws (even when I disapprove of the law[0], I know I can't pick and choose which laws I follow, every jurisdiction's laws are a package deal). But Big Tech seems to treat European fines for non-compliance as if they were taxes, even though a tax on an import is called a tariff and the US is fine with those.
[0] https://en.wikipedia.org/wiki/Investigatory_Powers_Act_2016, one of two reasons I left the UK
but also https://www.theverge.com/news/608145/apple-uk-icloud-encrypt...
and note that Apple disclosing they've received such an order is itself an offence.