Preheat the oven to 350°F. Grease 10 (4x2-inch) mini loaf pans with cooking spray.
In a medium bowl, whisk together the flour, pumpkin pie spice, baking soda, baking powder and salt. Set the mixture aside.
In the bowl of a stand mixer fitted with the paddle attachment, cream together the butter and sugar until light and fluffy, about 2 minutes. Add the vanilla extract and eggs, one at a time, beating between each addition. Add the pumpkin purée and beat just until combined.
Alternately add the dry ingredients and the water in increments, blending between each addition. Set the batter aside while you make the cream cheese filling. (You will need a stand mixer or a handheld mixer, so if needed, transfer the bater to a bowl and clean out the stand mixer bowl.)