Pulse flour, shredded cheese, and butter in a food processor at 5-second intervals until dough forms a ball. Shape dough into 3/4-inch balls; place 2 inches apart on lightly greased baking sheets. Press thumb in center of each to make an indentation. Cover and chill 30 minutes.

Bake, in batches, at 350° for 15 to 18 minutes or until light golden brown. Transfer to wire racks; cool 30 minutes. Spoon 1/4 tsp. desired jam or jelly into each indentation.