IANAL, but no (if I understand correctly). Companies outside the US (all the way outside, with no US footprint) are subject to the laws of their own land. You could sue them in US court, and never collect a dime. You could sue them in their own courts, have the lawsuits be subject to the laws of their land, have to spend a lot more money on lawyers... and still (probably) never collect a dime.

If they have an office in the US, though, you can sue the US division in US court.

If they have no office but some sales in the US, I'm a little less clear on...