Anyhow, short term, there will be a lot of fallout where exchange rates for contracts and loans stop being predictable leading to a drop of trade, and quite possible a lot of failed banks and other big institutions (probably saved by their respective governments, but it will still be a shaky time).
Long term (assuming the sovereign debt is made into national currency and not kept in Euro[]), the increased flexibility will make the economic status of the different Euro members a lot sounder. There will be consequences of less trade though, since it is not free for the companies to protect themselves against currency effects.
[] If they keep the debt in Euros while not being on the Euro themselves, then I expect hyperinflation. Thankfully for them (but not necessarily for the creditors) they will be able to do such a transition by a stroke of a pen. Sovereigns play by their own rules after all.