To begin, in a mixing bowl, combine the all-purpose flour and salt. Stir them together and make a well in the center.
In a small dish, stir together 2 tablespoons of warm water, the yeast, and sugar.
Pour the mixture into the well in your flour, but do not mix it in. Cover the bowl with a cloth and let it sit in a warm place for 15 minutes.
When you yeast has proofed, it will be bubbly.
Pour in 3/4 cup plus 2 tablespoons of warm water.
Add in the extra virgin olive oil. Stir this all together to combine.
Turn your dough out onto a floured surface and knead for 8 – 10 minutes or until the dough is smooth and elastic. Add flour as needed to keep from sticking while you knead.
Place the kneaded dough into a lightly oiled bowl and turn the dough over to coat it. Cover the bowl with a cloth and let it rise in a warm place for an hour or until doubled in size.
Punch the dough down and divide it into 12 pieces. Form those portions into balls and place them on a greased & floured baking sheet, or one lined with a silpat.
Let the rolls rise, covered in a warm place until doubled in size, about 45 minutes.
Preheat your oven to 450 degrees. In a small dish, whisk together the egg white and a teaspoon of water until frothy.
Brush the egg wash onto the rolls. Bake for 15-20 minutes or until golden.