I worked as a car detailer through and immediately after high school, and there used to be a guy we called 'The Magic Man' that would come in and repair burns or other defects in interior fabric so well you wouldn't notice the repair work.
He used a glue gun and what was basically powdered fabric (which came in a multitude of colors) to fill the wound, then would take tools that could recreate 'texture' to help finish it off. He could also repair leather/vinyl, but the end result was never as quite good as the fabrics.
Anyways...call your local auto detailing shops and see if they have anyone that they use.
Edit:
This seems to be a home version of what the magic man would come in with. His kit had far more colors and stuff for leather repair, but the technique/idea is the same.