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On your cutting board, cut a thin slice off the top of each tomato. Scoop out a ¼- to ½-inch-thick tomato pulp and place the tomatoes upside down on paper towels to drain. Set aside.
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Stir together the carrot, onion, garlic, and olive oil in the baking pan.
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Slide the baking pan into Rack Position 1, select Convection Bake, set temperature to 350ºF (180ºC) and set time to 5 minutes.
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Stir the vegetables halfway through.
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When cooking is complete, the carrot should be crisp-tender.
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Remove from the oven and stir in the spinach, feta cheese, and basil.
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Spoon ¼ of the vegetable mixture into each tomato and transfer the stuffed tomatoes to the oven. Set time to 13 minutes.
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When cooking is complete, the filling should be hot and the tomatoes should be lightly caramelized.
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Let the tomatoes cool for 5 minutes and serve.