Diversification opportunities in Euroland appear to have improved significantly since the advent of the euro, thus invalidating the prospects identified in the last years of the convergence-to-EMU period. We identify low frequency movements in the time series of return dispersions suggestive of cycles and long swings in return correlations. The most recent post-euro period is clearly associated with an important upswing with return dispersions exceeding for the first time their peaks of the early nineties.