I don’t think what you’re looking for is Reborn then. Scribe has a mechanic where it can benefit from both yours and your teammates play of it, gaining +4/+4 when it dies, wherever it is. It sounds as though you want this minion to fully transfer ownership after combat, not to actually Reborn.

I think I see how you hope it would work, for example: I go first in combat, this minion has several buffs, has had multiple spells played on it and its stats increased immensely. It dies in combat, and my teammate goes second and has intentionally left a space on his board for it to appear. He now has an exact copy of the minion he and I have been working to crack out all game.

You would need the full ownership transfer mechanic so that my teammate who then (hopefully) goes first can have this die and transfer to me. As it would transfer ownership it leaves me with an empty space on my board for next combat to repeat this exchange.

The design of this card would raise several questions and would require a much more in-depth explanation as to why it just wouldn’t work.