Log into existing session?

[r1cc4rdo]

Newbie alert :)

I have an existing remote session to a box through xrdp/remmina.
If I then log in locally, I am presented with an empty i3 workspace.
When I then try opening a terminal, it does open in the remote session with no feedback locally.

Can I:

• have a single shared wm, that is mirrored between local and remote access?
• have separate wm instances for local and remote connections?

I'd be happy with with either of the above solutions.
Any suggestion welcome, including technical details and rationale for the behavior :)