Add the garlic cloves to the mortar. Use the pestle to crush the cloves. Then, add the coarse salt and using a circular motion, grind the cloves against the mortar to acheive a creamy paste.
Next, add the pine nuts, to the mortar and process using the same crushing and grinding method described above to create a creamy paste.
Then, add the basil and work the mixture to incorporate all the ingredients.
Scrape down the sides of the mortar to ensure ingredients are mixing properly.
Add the Pecorino Romano and Parmigiano Reggiano and blend well.
When all ingredients are well blended and creamy, swirl in the olive oil and stir with the pestle to incorprorate.