Are you doors full overlay, partial overlay, or Inset? Regardless the answer is probably yes, photos would help.

Thanks for your interest and response. The "Attach a Photo" function wouldn't work in my original post, but it seems to be okay now. I've attached two photos. My cabinet doors are 5/8" partial-overlay with reverse bevel edge detail. Any advice would be appreciated.

Do you have Lee Valley store near you they are great at helping with just this problem

I've done this myself with a jig from Home Depot for a couple doors, I wouldn't sign up for doing a whole kitchen! If you are handy and own a drill press and patience it is straightforward. Lots of 5/8" overlay euro hinges available.

Thanks, all. I do have the 35mm forstner drill bit already, but normal placement with the template has the edge of the mortised hinge cup within an eighth of an inch from the edge of the door. With the reverse bevel of my doors, that would expose a portion of the cup as stated in one of the responses. I was hoping to learn of some other type of concealed hinge I may not know about that would move the placement of the recessed cup further away from the door edge.

No, sorry. The next best option is to order new doors online- they are surprisingly reasonably priced and can come prepped for euro hinges. I replaced '80's oak bordered Formica doors on some built ins this way.

You could run the door through the table-saw on the hinged edge only or all four edges. That would leave a little sanding and finishing work but would be cheaper than new doors and not really too much work.

We have reverse bevel hinges available in several finishes if you were not able to find a different solution email us at theknobbery@yahoo.com and we will be happy to assist you.