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Heat a medium saute pan until very hot and add 2 teaspoons of olive oil. Season scallops with salt and pepper and quickly sear scallops for 3 minutes. Turn the scallops over and cook for 1 minute more. Remove.
In another saute pan, add butter and let brown. Add balsamic vinegar, 2 teaspoons reserved endive cooking liquid, salt, pepper, chopped parsley, tomatoes, and shallots.
On 4 dinner plates, fan out 4 pieces of endive. Warm plates in oven for 2 to 3 minutes. Remove plates from oven and place 3 scallops over endives and lightly nappe with sauce. Serve immediately.