In a large bowl (or using your stand mixer) combine butter, white sugar, and brown sugar, and beat with an electric mixer until creamy and fluffy. Slowly add the eggs, and vanilla, and continue to mix until combined.
In a separate bowl combine the flour, salt, and baking soda. Slowly add the dry flour ingredients to the wet ingredients, still beating until the cookie dough forms. Add the chocolate chips and fold them into the dough.
Take a small amount of cookie dough and place it in one hand, top with a mint truffle, and then top with another small amount of cookie dough. Using your hands, carefully cup around the cookie dough to enclose the Hershey Kiss, pinching the sides as you go.
Bake for 11-12 minutes or until the cookies is done to your liking. Let cool on the cookie sheet for 3 minutes before removing to a wire rack to cool completely.