Preheat oven to 350°. In a small saucepan, heat milk until bubbles form around sides of pan; remove from heat. In a large bowl, whisk eggs, sugar and salt until blended but not foamy. Slowly stir in hot milk. Stir in vanilla. , Pour egg mixture through a strainer into 1-1/2-qt. round baking dish; sprinkle with nutmeg. Place round baking dish in a larger baking pan. Place pan on oven rack; add very hot water to pan to within 1/2 in. of top of round baking dish. Bake until a knife inserted near the center comes out clean, 55-60 minutes. Centers will be soft and jiggle even after chilling. Remove baking dish from water bath immediately to a wire rack; cool 30 minutes. Refrigerate until cold.