Preheat the oven to 375°F. Spray a pizza or baking pan with non-stick spray and set aside.
In a large bowl, combine the butter, sugar, flour and oats, stirring until combined. Press the dough into the prepared pan and bake for 15 minutes or until golden brown. Remove the crust and allow it to cool completely.
Heat a grill pan or an outdoor grill over medium low heat. Arrange cut fruit on the pan and grill for 1-2 minute or until soft. Remove and set aside to cool.
For the filling, cream together the Greek cream cheese spread, Greek yogurt and powdered sugar. Stir in the vanilla.
Spread the filling over the cooled cookie.
Top with fruit just before serving.