Europe's economy has dragged itself out of the darkest depths of its crisis, spurring a rush into the region's stock markets, but some analysts are questioning whether the rally has outpaced the economy's recovery.

"The underlying strength of Europe is not that robust," despite its economy exiting recessionary territory this year, Piyush Gupta, CEO of DBS Group, Southeast Asia's largest bank, said at an event for private banking clients last week. "The markets are running ahead of themselves."