Cook the fresh pasta in a large pot of salted boiling water for 2 minutes. If using dried pasta, cook according to package directions until al dente. Tip the pasta into a colander, leaving about 2 tablespoons of the cooking water in the pot.

Immediately return the pasta to the pot and add the olive oil, lemon zest and juice, Parmesan, basil, and three-quarters of the crumbled feta. Toss well and check the seasoning. Divide among warm plates and scatter the remaining feta and the pine nuts over the top. Serve at once.