Pour milk into a microwave-safe bowl and heat in the microwave until warm, about 60 seconds.

Place butter in a microwave-safe bowl and heat in the microwave until melted, about 30 seconds.

Place eggs in a bowl; cover with warm water for 1 minute, then drain and crack into another bowl. Beat lightly with a fork.

Place warm milk, melted butter, beaten eggs, salt, bread flour, purple yam powder, and bread machine yeast into a bread machine in the order listed. Run the "Dough" cycle.

Preheat the oven to 375 degrees F (190 degrees C).

Transfer dough to a greased bowl, deflate the dough with your fist, and cut into 24 equal pieces. Roll each piece into a ball.

Pour bread crumbs into a shallow plate and roll balls of dough in bread crumbs until coated. Arrange close together, slightly touching, in an ungreased baking pan.