Having one common game object for two players

Hi,
Following this very good tutorial: ...also reading the manual.

I get the multiplayer working but only when spawning separate GameObjects in both the local and remote, I am not able to create a single game object that both players can use. What i am trying to make is the ability for both the local and the remote to drag the same object.

Is this doable and could someone nice give me some ideas how to achieve this?