Forget my previous suggestion.
Here's how...
a ) crop decal to the limits of the outer circle
b ) in Photoshop ... Filters>Distort>Polar Coordinates>Polar to Rectangular
c ) in Photoshop... double the vertical dimension fo the canvas
d ) in A:M New decal, application method>Spherical, Apply
e ) finished sphere (delete or hide the half you don't want)
If you really need the wrinkles a shrink wrapped image would get, you could drop a piece of simcloth on a half sphere.