I don't know if this helps. Mine are pretty snug but the front is angled to allow clearance.

As ReBE231 shows, start by mitering back the fronts and see how that works

When shut you should only have a 3MM reveal

Thanks for the advice. I works fine but I wanted to try something like the one in the attached corner drawer. Seems they didnt miter it. Is there a secret? Is it the metal drawer itself?
A friend told me that the two faces of the drawer might be 80 or 85 degrees instead of 90 degrees, another one said they might have made the depth of the cabinet itself in the beginning less than the cabinet by the corner, let's say it is 58cm at the beginning of the cabinet and 60cm by the corner.

Can it be true?? Can any of theses assumptions be true?

Once again thanks for the great advice, it is the only way to do it manually.
I guess there is no way to do it like my second attachment manually. The drawer of the second attachment is a special machine that keeps the face less than 90 degrees til it is closed then pulls the face to the drawer.

Yes. I've had the miters for 4-5 years. They work just fine. I figured that out when I was telling the cabinetmaker I didn't want the Blum flapping front hardware. Will the trim not work with the miter?

If you don't have to have the drawer boxes full extension, you can also make them go all the way back. I made them change those, but I don't know if it's already too late for yours. :) That way there's a V in the back as well, and a lot of extra length.