Cut each tenderloin into three equal pieces. Slice each piece lengthwise into strips about 1/4 inch thick. Cook chili sauce, lime juice, fish sauce, and shallots until shallots are softened, about 2 to 3 minutes. Pour sauce over pork until well coated.
Heat a lightly oiled grill pan over moderately high heat and grill pork in small batches, turning over once until just cooked through, about 1 minute per side. Alternatively, grill over moderately high direct heat on a gas or charcoal grill. Oil grill grid before putting the meat on to cook.
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