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1
Place rice in a small saucepan with bay leaf and 2 cups water, bring to a boil over high heat, then drain immediately.
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2
Transfer rice and bay leaf to a heavy 3-quart saucepan.
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3
Add 4 cups milk, 1/2 cup sugar, vanilla bean and salt.
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4
Place over very low heat and cook, stirring occasionally, until milk has been absorbed by rice, about 1 hour.
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5
Add 2 more cups milk, and continue cooking over low heat 15 to 20 minutes longer.
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6
Rice should be tender and mixture should be very creamy.
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7
Remove from heat, and allow to cool to room temperature.
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8
Combine remaining sugar with 2 tablespoons water in a 1-quart saucepan.
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9
Place over medium-high heat, and stir gently until sugar dissolves.
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10
Continue cooking until mixture turns a medium amber color.
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11
Remove pan from stove and place on a heat-proof surface to cool.
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12
Caramel will darken somewhat and harden as it cools.
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13
No more than 30 minutes before serving, add a little milk to rice if it has become too thick, then remove bay leaf and vanilla and transfer pudding to a shallow serving bowl.
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14
Add 2 tablespoons water to caramel, return it to stove and place over medium heat.
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15
Cook about 5 minutes until caramel has softened.
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16
Stir to incorporate water.
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17
Remove from heat.
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18
To serve, drizzle caramel sauce over pudding.