Trading breeding stock between savegames?

[ISNorden]

I was very lucky to get 6-7 5IV/6IV starters through Wonder Trade in my current game.  Is there a way of passing those starters (or at least the eggs) on to my next game as breeding stock?  (Given their ultra-high levels by now, all these guys can do for a new trainer is sit in the Day Care.)  If you'd like to help me set up the transfers, I'd appreciate it immensely.  Thank you!