Place strawberries in a blender; puree until smooth.
Transfer strawberry puree to a saucepan over medium heat; bring to a boil, stirring often, until puree is reduced by at least half, about 20 minutes. Remove from heat and cool completely.
Beat butter with an electric mixer in a bowl until light and fluffy.
Beat 1 cup confectioners’ sugar into butter until just blended.
Beat 2 tablespoons strawberry puree and vanilla extract into butter mixture until just blended.
Repeat with 1 cup confectioners’ sugar, followed by 2 tablespoons strawberry puree two more times.
Beat last 1/2 cup confectioners’ sugar into mixture until just blended.
For more intense strawberry flavor, reduce strawberry puree longer until desired intensity is reached.
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