Ah-h-h-h! It all comes back to me now but I don't remember seeing it in home environment applications. That's OK, I see what you want to do now!
I assume there are no holes pre-drilled into the metal???
I'm thinking there should be holes to be able to address the rounded corners.
If you don't want the holes with small screws you might use "contact adhesive" applied to both surfaces. Allow both the surfaces to dry then carefully begin to apply the edging. Probably you will need a helper. When you get to the corners (before you begin the bending) clamp the metal to the edge (somehow) so it doesn't "lift" from the tension of forming the curve.
Once the curve is formed and glued it may stay in place but I have my doubts. I do remember seeing screws used in some of those applications so maybe that idea isn't out of the question.
And YES, I'm sure you are dealing with aluminum.