Step 1

Dissolve yeast in warm milk in the bowl of a stand mixer fitted with the paddle attachment; let stand 5 minutes. Weigh or lightly spoon flour into dry measuring cups; level with a knife. Add flour, sugar, salt, and eggs to milk mixture; beat with a stand mixer at low speed until smooth, scraping down sides of bowl with spatula as needed. Remove paddle attachment; insert dough hook. Beat dough at low speed 5 minutes or until soft and elastic and dough just begins to pull away from sides of bowl. Cut 6 1/2 tablespoons butter into large cubes; add half of butter to dough, mixing at medium speed to blend. Add remaining butter cubes to dough; beat at medium speed until incorporated.  Beat dough at medium speed 4 minutes or until smooth and elastic.

Step 2

Place dough in a large bowl coated with cooking spray, turning to coat top. Cover and let rise in a warm place (85°), free from drafts, 1 hour or until doubled in size. (Gently press two fingers into dough. If indentation remains, dough has risen enough.) Punch dough down; form into a ball. Return dough to bowl; cover with plastic wrap, and refrigerate 8 hours or overnight.

Step 3

Uncover dough; let stand 90 minutes or until dough is at room temperature. Divide dough into 4 equal portions. Working with one portion at a time (cover remaining dough to prevent drying), cut dough into 6 equal pieces. Roll each piece into a 1 1/2-inch ball. Repeat procedure with remaining 3 dough portions to make 24 rolls total. Place rolls in muffin cups coated with cooking spray. Cover and let rise for 45 minutes or until almost doubled in size.

Step 4

Preheat oven to 350°.

Step 5

Combine 1 tablespoon water and egg white; stir with a whisk. Gently brush rolls with egg mixture. Bake at 350° for 14 minutes or until golden. Place pans on wire racks. Place remaining butter in a microwave-safe bowl; microwave at HIGH 20 seconds or until butter melts. Brush butter onto rolls.