Blanch spinach for dough and sauce in boiling water, then shock in ice water.
Squeeze spinach dry using towels.
Blend spinach with eggs and olive oil in food processor.
Mix flour and salt, then incorporate spinach mixture to form dough.
Knead dough until smooth and elastic (8–10 minutes).
Wrap dough and rest for 30 minutes at room temperature.
Roll dough into sheets using pasta machine.
Cut sheets into tagliatelle. Dust with flour and rest.
In skillet, sauté garlic in butter. Add spinach, cream, and seasonings. Simmer and stir in parmesan.
Cook pasta in boiling salted water for 2–3 minutes until al dente. Drain.
Toss pasta with sauce and serve immediately.