There is one -- it is called the Allia -- I think it is made by Rohl. Undermount fireclay. But it has been a couple of years since I was sink shopping.

Thanks, I'll take a look.

It depends on your counter depth - I suspect the sink might be too big from front to back to fit in the way you're describing unless you have unusually deep counters.

Ikea makes a drop in version of their popular domsjo sink, although most people are more familiar with the farmhouse models. I think it can be undermounted:

Here is a link that might be useful: drop in domsjo

Would you consider cast iron instead, if you can't find what you want in fireclay? The look would probably be very similar in an undermount.