Add 00' flour, whole eggs, egg yolks, and fine sea salt to a mixing bowl. Using clean hands, mix the ingredients together just until a shaggy dough forms.
Pour the shaggy dough onto a clean work surface, and gently knead/pat the excess flour together to form one solid dough.
Shape the pasta dough into a square. Wrap the dough in plastic wrap, and allow to rest until you touch the dough and it has slightly softened, about 35–45 minutes.
Cut the dough into 12 equally sized pieces. Use your hands or a rolling pin to slightly flatten the pasta dough so it can fit into the widest setting of the pasta machine. Dust each side of the pasta with semolina to ensure it doesn’t stick.
Pass the pasta dough through the widest setting on the pasta machine. Fold each side of the pasta to the middle, then pass the pasta dough through the widest setting again.
Reduce the pasta machine width setting by one, then continue to pass the pasta through the machine. Continue flattening the pasta, reducing the setting by one, until it reaches a thick medium setting, about 1 mm thick (for me, setting 4). You can add additional semolina flour throughout this process if the dough starts to get sticky.
You should be left with 12 long pieces of pasta (about 12 inches or 30 cm long by 3 inches or 8 cm wide). Layer pasta sheets in between semolina flour, cover with plastic wrap, and set aside.