4 pounds small Yukon gold or red-skinned potatoes, quartered
1 pound green beans, cut into one-inch segments
1 to 2 small garlic cloves, peeled
2 bunches of basil (about one ounce each)
1/4 to 1/2 cup olive oil
6 tablespoons (or more to taste) mild vinegar, such as champagne, white wine or a white balsamic
1/4 cup chopped green onions (scallions)
1/2 cup pine nuts, toasted
Parmesan cheese to taste
Salt and freshly ground black pepper