Pesto-Stuffed Steaks

Yield:	4 Servings
Categories:	BBQ, Meats

2		Beef rib eye steaks, 1 1/2 " thick (about 2 pounds)
1/4	c	Pesto
2	tb	Finely shredded Parmesan cheese
1	tb	Olive or vegetable oil
1/3	c	Finely shredded Parmesan cheese