With Austria out of the way, the London Peace Conference developed in a way that was favorable to the Kingdom of Prussia. On September 1, 1867, Prussia and Denmark signed an armistice treaty.
There was no avoiding territorial concessions, as the Schleswig-Holstein Duchies had been swallowed whole by Prussia and naturally couldn't be spit back out.
There was no point in hoping for financial reparations, since the Kingdom of Denmark had a new backer—the Nordic Federation. Although this nation, still in formation, wasn't as strong as the Kingdom of Prussia, it had no problems with self-preservation.
The Swedish people didn't strive for the Schleswig-Holstein Duchies, mainly because they were worried about Denmark's strength being too formidable, which would not be conducive to their control over the state.