Heat oven to 350°F and line a cookie sheet with parchment paper.

Mix together chèvre, berries, and basil until thoroughly combined. Add salt and pepper to taste.

Separate sheets of dough and lightly brush each with olive oil and reassemble. Arrange 1 tablespoon of filling at the edge of each rectangle, then roll up tightly. Pinch the ends together slightly to avoid leakage (although if it does, you can just sneakily shove the chèvre back into the dough with a spoon).

Bake for 10-15 minutes, until crispy.