Can you attach component or picture represent your design?
Try creating an extruded surface body using the outer profile of your oblong solid. Then try wrapping onto that surface. In other functions SW recognizes the surface body as a single surface instead of the straights and curves of a solid body.
You say Wrap wouldn't work as it only allowed you to select one target face - could you do three separate Wraps (one per face) using the same source sketch?
Thanks guys, I have actually figured it out now. I have used spline on surface, it works great with what I need to do.