Layer the Biscuits:
Arrange a single layer of Savoiardi biscuits in the bottom of a serving dish. Lightly brush them with the reserved peach syrup for added moisture and flavor.
Add the Pudding:
Spread half of the cooled pudding evenly over the biscuits, ensuring a smooth, even layer.
Layer the Peaches:
Arrange the sliced peaches on top of the pudding layer, spreading them evenly for a burst of fruity flavor.
Repeat Layers:
Add another layer of biscuits, followed by the remaining pudding, smoothing the top with a spatula.