PREPARATION 30 min (+ the resting time for the fresh pasta):
First prepare the fresh pasta in a bowl pour the flour, eggs and start mixing with a fork, then use your hands to handle the ingredients until you get a smooth dough. Transfer the dough to a lightly floured work surface and continue to work it vigorously; add a little flour if necessary and handle until you get a smooth and elastic dough. Form a ball and place it in a food bag or wrap it in cling film and let it rest for at least 30 minutes at room temperature, in a cool and dry place. After the resting time, take the dough, sprinkle with very little 00 flour, then divide it into 2 portions; wrap the one you are not using immediately in cling film to prevent it from drying out, you can roll out the other one with the machine (alternatively you can use a rolling pin), moving from the lowest level to the highest until you get a very thin sheet. Place the strips obtained on a work surface lightly floured with semolina, which you can also sprinkle on the pasta sheets. Cut three rectangles from each sheet, let them dry for 2-3 minutes per side. Then roll the rectangles up on themselves, without pressing, to form rolls and cut them with a knife into 2 mm thick strips. Unroll the tagliolini delicately by taking a strip of pasta, roll them into a nest and let them dry on a clean and lightly floured cloth or on a pasta drying rack . Continue until you have used up all the fresh pasta.
Move on to preparing the dressing: wash the lemon well and grate the zest, being careful to avoid the white part, which has a bitter taste; then squeeze the lemon juice. Take a large saucepan or a large frying pan with high edges, add the oil, butter and lemon zest and melt everything over very low heat. Also add the lemon juice (you can filter it to prevent the seeds from ending up in the dressing). Boil the tagliolini in salted boiling water for 1-2 minutes maximum, then sauté them in the pan with the dressing, adding a ladle of pasta cooking water if necessary and stirring to combine well. Add a few thyme leaves and serve.