Automatically Printing reports when Outbound Order is Packed

Summary:

Depending on the order type or the ship-to-address, we need to have printed different reports (we are using custom reports developed in the Web Reports tool). We are looking for a way to automatically print the required documents when the order reaches the Packed status.

We could only find a way to print documents automatically as part of the wave completion or based on the Outbound Load status (loaded/shipped).

Has anyone faced this requirement before?

Thanks