In the lead up to the Euro debt crisis, there was a marked divergence in competitiveness within the Eurozone. In fact, some economists suggested that the currency imbalances were the root cause of the Eurozone fiscal crisis. (VOX article)
However, recent evidence suggests some restoration of competitiveness within the Eurozone.
We can examine competitiveness in a couple of ways. To see the divergence in competitiveness, we can look at unit labour costs. Relative to Germany, unit costs tended to rise much faster in southern Europe. The graph below shows the divergence of southern European economies compared to Germany. Remember in the Eurozone, this decline in competitiveness could not be offset by devaluation.
Decline in competitiveness in Eurozone

Competitiveness and Current Account deficits
This decline in competitiveness was reflected in substantial current account deficits in the south, and current account surpluses in the north.
By 2008/09, countries such as Portugal, Greece, Ireland and Spain had achieved record current account deficits.
To What Extent is Eurozone Competitiveness being Restored?
Unit Labour Costs 2009-2014

This research from the OECD suggests a significant restoration of competitiveness. Note, it includes forecasts for 2013 and 2014. This change in relative competitiveness would explain, at least, part of the fall in current account deficits in southern Europe.