I have both the Chase British Airways and Chase Marriott Rewards cards with the embedded chip. Chase has them set up as Chip-and-Signature at this time, not Chip-and-PIN like true EU cards.
When I use them in the EU at a restaurant or store, the cc machine recognizes my card as such, and prints a signable receipt. It's not much different than if they swiped it, and swiping the US-style cards is available in most any tourist area.
But when I tried to use them in an unattended setting, such as a gas pump, train ticket vending or parking payment machine, it didn't work at all--it's not recognized as Chip-and-PIN.
Bottom line, I've found them to be useful only if you're in a place than can't swipe credit cards, which I've only found once in a small town in Northern Ireland. Hopefully, Chase will eventually correct this.
ATMs are not an issue for US cards, in my experience.