Step 1

If burrata is unavailable, sliced fresh mozzarella makes a ­suitable substitute.  To prepare this recipe over an open fire, prepare hot single-level fire in open-fire grill. Set cooking grate at least 6 inches from coals and flames and heat grill until hot, about 5 minutes. Proceed with step 5.

Step 2

FOR THE LEMON-BASIL VINAIGRETTE:  Whisk lemon juice, mustard, garlic, salt, and pepper together in bowl. Whisking constantly, slowly drizzle in oil. Stir in basil and season with salt and pepper to taste. (Vinaigrette can be refrigerated for up to 2 days. Bring to room temperature and whisk to recombine before serving.)

Step 3

FOR THE GRILLED VEGETABLE PLATTER:  Slice ¼ inch off tops and bottoms of bell peppers and remove cores. Make slit down 1 side of each bell pepper, then press flat into 1 long strip, removing ribs and remaining seeds with knife as needed. Cut strips in half crosswise (you should have 4 bell pepper pieces).

Step 4

Push toothpick horizontally through each onion round to keep rings intact while grilling. Brush onion, bell peppers, tomatoes, and zucchini all over with oil, then brush eggplant with remaining oil (it will absorb more oil than other vegetables). Sprinkle vegetables with salt and pepper.

Step 5

FOR A CHARCOAL GRILL:  Open bottom vent completely. Light large ­chimney starter filled with charcoal briquettes (6 quarts). When top coals are partially covered with ash, pour evenly over grill. Set cooking grate in place, cover, and open lid vent completely. Heat grill until hot, about 5 minutes.

Step 6

FOR A GAS GRILL: Turn all burners to high; cover; and heat grill until hot, about 15 minutes. Turn all burners to medium-high.

Step 7

Clean and oil cooking grate. Grill vegetables until skins of bell peppers and tomatoes are well browned and onions, eggplant, and zucchini are tender, 10 to 16 minutes, flipping and moving vegetables as necessary to ensure even cooking and transferring vegetables to ­baking sheet as they finish cooking. Place bell peppers in bowl, cover with plastic wrap, and let steam to loosen skins, about 5 minutes.

Step 8

Remove toothpicks from onion and separate rings. When cool enough to handle, peel bell peppers, discarding skins; slice into 1-inch-thick strips. Arrange vegetables and burrata attractively on serving platter with lemon-basil vinaigrette. Garnish platter with basil leaves. Serve warm or at room temperature.