Soft Closing Hardware

I am wondering if there are a soft closing cabinet door hardware option in a scenario where the pre existing cabinets I think have a partial inset to them. I have attached a photo of the door. The frame has a facing on it and the gap between the edge of the door and inset are 3/8" as shown in photo. I've seen many options at home depot and other hardware stores for overlay and farmless but haven't found any hardware options I think will work for these cabinets. Any input would be appreciated as I am a newbie.