Drag and drop in box with overflow hidden

Drag and drop in box with overflow hidden

I'm trying to attempt the following:

I have one list with draggables and another with sortables. I need the draggables to go to the sortable list, which works fine as long as both boxes are stretchable.

Now, the draggables are in a fixed height list with an overflow hidden applied to it (because they will be a scrollable list) so when I drag the items to the sortable list they disappear under the bounding box of my draggable list.
While this is expected behaviour, I would like to know if there is a way around this.

I thought it was perhaps possible to work around this by copying the object on drag into a new object outside the boundary box? If so, how do I specify that the new dynamically created object should be the one being dragged instead of the original?

Many thanks
Ayame