Add creamcheese and butter into a large bowl, beat with a hand held electric beater for about 2 minutes, until smooth. Add the confectioners sugar and 1/4 cup strawberry puree, beat for 1-2 minutes (start low and then build to high).
If frosting looks too thick then beat in about 2-4 teaspoons milk and beat.
If frosting looks thin then beat in about 1/4 - 1/2 cup confectioners sugar.