Today I received a PM from Dumitru with a working function to do this, so I wanted to share that with all of you.
Unlike one would expect to use the function "cut at object", (whether it is a profile or a plate you want to cut to, it is an object), it works fine when you use the function "element contour - rule".
Check the attached movie captures.
Attachment: 111011 cut profile at plate.zip