In a Large pot or saucepan bring water to a boil on high heat adding a generous amount of salt. Add the pasta, stirring occasionally so as not to stick and cook 2 minutes less than package instructions. Reserve ½ cup of cooking water.
In the meantime, in a large and deep saucepan over low heat add the Pesto Genovese sauce and keep warm.
Strain the pasta and return to the saucepan with the pesto sauce. On low heat stir for a minute so as the pasta absorbs the sauce. Add from the reserved water if consistency is on the thick side.
Serve in a deep dish, drizzle the oil and put some Pecorino cheese.