Call a solid surface fabricator. This is not DIY.

Contract Krion directly for advise. A sink that get's filled with water and or pots and pans can be very heavy and requires support.

PeteS:

As a Certified Corian Fabricator and Installer with 30 years of repair experience, if you're the least bit fussy, this is not a DIY project. The end result depends upon the skill of the fabricator and to the particular color, movement, and/or particulates of the material. Solid colors are much less forgiving; particulates more so.

First of all, going to a smaller sink from a larger one isn't a good idea. It's particularly bad if the new sink is fully divided.

That's a Karran 540 seamed undermount. No reveal, no silicone, no maintainence.

Maybe stick with a short apron 36" farm sink and build the inside edges down. Vertical seams are much less conspicuous if they don't turn out so hot. You don't have to build the inside edges down to make this work, but I can't find a picture.

Is your cutout 36" or is your sink 36" please?

The sink was 37" (discontinued Elleci Dogma90) and cutout 36" x 19" which is a rare size. The cabinets have drawers and hence not possible to have an undermount sink. Based on the comments, I will get a sink to suit existing cutout and I need to keep an eye on overmount sink for the size.

PeteS:

I'd adhere a 1" strip to the rear of the cutout, profile and abrade to flush and finish match. I'd undermount this sink with a couple Sink Straps or a Hercules Universal Sink Harness which will eliminate any strain on the new joint.

If you can't dunk that sink you'll tap the cabinet front off to get it in.