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Cut tomatoes in half horizontally, squeeze out the seeds and discard.
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Place tomato pulp in a low, wide saucepan over high heat. Add salt, olive oil, tomato paste, garlic, basil, sugar, oregano and bay leaf. Bring to a boil, then lower heat to a brisk simmer.
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Stirring occasionally, let the sauce reduce by almost half to produce about 2 1/2 cups of medium-thick sauce, 10 to 15 minutes.
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Taste and adjust salt, if needed. Use immediately or store in the refrigerator for up to 5 days.
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To keep longer, store in the freezer.