u/miss151

Installing an inset door in a kitchen cabinet, there are a few locations like this in this kitchen. It's an unusual remodel. My crude drawing shows which way the door needs to open. Cabinets are actually face frame despite this unusual joint. I'm looking for a soft-close hinge (or any hinge, really) that will work. Other side of the cabinet is a mirror image of this, so flipping the opening direction changes nothing. Does this exist anywhere?