Preheat the oven to 350, and line a cookie sheet with parchment paper.
First, beat on medium speed with an electric mixer the softened butter and sugar, for about 1 minute, or until light and fluffy.
Add the egg, and beat just to combine.
Add the ube flavoring and beat again.
Evenly sprinkle the flour, baking soda and salt on top, and stir just to combine.
Finally, stir in almost all of the crushed Oreos.
Divide into 10 evenly sized dough balls on the prepared cookie sheet, and press a few extra oreo pieces on top of each cookie. Bake for 10-11 minutes, until the edges are starting to turn crisp but the centers are still gooey.