Place flour and salt in a large bowl; whisk to combine. Make a well in the center of the flour mixture and set aside. In a medium bowl, whisk together eggs, olive oil, and 1/2 teaspoon water.
Pour egg mixture into well. Working from the inside rim of well towards the outside, slowly incorporate flour into egg mixture, add more water, 1/4 teaspoon at a time, if dough seems too dry.
When dough begins to come together, transfer to a clean work surface and knead until smooth, about 10 minutes. Cover with plastic wrap and transfer to refrigerate for 1 hour before using.