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Wrap the tofu tightly in a clean kitchen towel. Place it on a plate and stack some heavy (but stable) objects on it to press the moisture out. Let it press for 20 to 30 minutes.
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In a bowl, whisk together the water, vinegar, oil, salt, basil, and oregano.
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Unwrap the pressed tofu, pat dry, cut it into 1/2-inch (1.3cm) cubes, and place it in the marinade. Marinate the tofu in a sealed container for 4 hours in the fridge.
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Stir it around or flip the container every couple of hours. Drain the excess liquid from the tofu.
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In a bowl, toss the tomatoes, arugula, marinated tofu, and lemon juice together until well combined. Season with salt and pepper, and add lemon juice to taste.