Place the flour on a clean surface and make a wide well in the center. Add eggs, olive oil, and salt into the well.
Use a fork to gently beat the eggs, slowly pulling flour from the edges into the center until a thick, shaggy dough forms.
Use your hands or a bench scraper to gather the mixture into a rough dough ball. If it feels dry, add a few drops of water.
Knead the dough for 8–10 minutes until smooth, elastic, and slightly tacky but not sticky.
Shape into a ball, wrap tightly in plastic wrap, and let rest at room temperature for 30 minutes. This relaxes the gluten.
Divide the rested dough into 4 pieces. Flatten one piece and roll through a pasta machine (or with a rolling pin), starting thick and gradually thinning.
Cut into desired pasta shapes like fettuccine, tagliatelle, or sheets for ravioli.
Cook immediately in salted boiling water for 2–3 minutes, or dust with flour and store for later use.