Extending a timed out game

I’m playing a friend online and the timing ran out meaning the game is over. Neither of us want that. Is there anyway to allow the game to continue?
Set up a new game; one that starts in the same position that the old game timed-out in. Make sure the proper side is on the move.
This takes advantage of the same mechanic that is used to set up "themed" games... eg: starting on move 6 of a Najdorf Defense, for instance.
I’m playing a friend online and the timing ran out meaning the game is over. Neither of us want that. Is there anyway to allow the game to continue?