Not sure if you are talking about a counterboere or a hole that is larger and elinimates the
A Counterbore. HEre is the part.
Is this what you are looking for?
Did you try using holewizard with a counterbored hole?
it would depend on what you mean by "follow the contour of the part". the suggestions above would cover most meanings. if they don't do what you want, perhaps you could post a sketch or something to elaborate.
I assume you are looking for this:
or specifically for a counterbore, try this:
Here's a couple of alternatives;
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