While the tortellini is chilling, arrange all the remaining ingredients—olives, basil leaves, salami, tomatoes, artichoke hearts, pepperoni slices, and cheese cubes—within easy reach. Begin assembling the skewers by threading the ingredients onto cocktail picks or 6-inch wooden skewers. Alternate between items to create a vibrant mix of color and texture. A suggested sequence includes: olive, basil leaf, tortellini, salami, tomato, artichoke heart, pepperoni, another olive, and cheese cube.