Special equipment: A pasta machine
Combine the flour and salt in a bowl and mix. Form a well in the center of the flour mixture. Place the eggs, extra-virgin olive oil and 1 tablespoon water in the well. Mix the egg mixture with a fork and slowly incorporate the flour until it becomes a ball of dough. The dough should be tacky, but not wet. Turn the dough out onto a floured work surface and knead the dough until it is smooth and elastic, about 5 minutes. Cover the dough with plastic wrap and allow it to rest at room temperature for 1 hour. Roll out the dough into thin sheets using a pasta machine. Cut the pasta into desired shapes or cut into sheets for ravioli.