Place basil in a food processor; cover and process until finely chopped. Add flour, process until blended. Add eggs, water and oil. Process for 15-20 seconds or until dough forms a ball. Turn onto a floured surface, knead until smooth and elastic, (about 8-10 minutes). Cover and let rest for 30 minutes. Then divide into fourths.

On a floured surface, roll each portion of the dough to 1/16" thickness. Roll up jelly-roll style and cut into 1/4" slices. Separate and unroll the slices. Hang the noodles to dry or let stand on a clean towel for at least 1 hour.

Cook noodles in boiling salted water for 4-5 minutes or until tender; drain and serve.