Please help beginner with simple wrap/extrude/waddayoucallit

 From:  Harri (HJOY)
greetings from a long-time lurker, I really admire the work presented here and love Moi!

Until now I've managed almost everything from scratch, but I don't know how to do this simple task.
I'm trying to create an extrusion that extrudes towards a point. the idea is to create a shape resembling a teddy bear, projected onto a sphere and then extrude 1mm inwards towards the center of the sphere. Hard to explain, but I think you'll know what I mean. I've attached a flat projection of the "teddy" I want to create and projected this onto the sphere too. I bet the answer is simple and I'll look a real idiot in a few moments ;)

Thanks for any help in advance.