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1
Preheat oven to 375 degrees F.
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2
In a heavy saucepan over medium-low heat, melt butter.
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3
Whisk in flour and cook, whisking, 3 minutes.
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4
Whisk in milk and bring the sauce to a simmer.
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5
Simmer sauce, stirring, about 8 minutes.
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6
In a bowl, whisk eggs and add 1 cup sauce in a steady stream, whisking constantly to keep the eggs from cooking.
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7
Whisk egg mixture into remaining sauce and stir in dill, nutmeg, and salt and pepper.
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8
Keep dill sauce warm and its surface covered with plastic wrap.
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9
In a pot of boiling salted water, cook penne until al dente.
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10
Rinse penne in colander and drain well.
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11
In a large bowl, stir together pot roast meat, beef broth, and gravy.
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12
In a buttered shallow 7 by-11-inch baking dish, place half of pasta evenly over the bottom.
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13
Top with 1/3 of the reserved sauce and then spread beef mixture evenly on top of the sauce.
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14
Top evenly with remaining pasta and pour the remaining sauce over the pasta.
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15
(Pour the sauce slowly to keep from overflowing and to allow it to sink in.)
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16
Bake in middle of oven until set, about 40 minutes.
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17
Sprinkle cheese over the pastitsio during the last 20 minutes of baking.