Whether that poses problems for the countries at the bottom end of the "price range" depends firstly on the scale of the overshooting and secondly on the weight assigned to the inflation rate of the "problem" countries in the EMU-wide inflation rate. Viewed in these terms, higher inflation rates run by smaller countries present less risk of conflict than similar trends in large countries.
As you know, against the background of the current differences in inflation rates, and those expected for the future, there have been calls for the ECB to interpret its stability standard more leniently than in the past. Failing this, there would be a risk of "too little" inflation being left over for the countries that are growing more slowly.