To be sure, not everyone expects Europe can overcome its economic hurdles.
(Read more: Why Europe may not get much cheaper)
European economies and markets are "sclerotic," Jim McCaughan, CEO of Principal Global Investors, told CNBC. Principal's parent, the Principal Financial Group has around $450.6 billion under management.
"I don't see where the growth in Europe is coming from. The deleveraging process hasn't started yet. The debt levels in Europe are way too high. The banks are way too weak; they're all undercapitalized; they can't lend,"McCaughan said. "I don't see how Europe pulls out of the slough, I must admit. I see very high unemployment all across Europe and no reduction in unemployment."
(Watch this : Why Europe continues to underperform the U.S.)
Others are also less positive on the continent, with Morgan Stanley this week downgrading its view on Europe's equities and bonds to neutral, viewing the risk-reward profile as stronger in the U.S. and Japan.
The bank cited concerns Europe's economy faced "Japanification," or a long period of entrenched economic stagnation similar to Japan's around two-decade-long slump.
But Amundi's Blanque does have an answer to concerns over Europe's economy: "You don't need to see European growth going through the roof to be long European equities next year. "
— By CNBC's Leslie Shaffer. Follow her on Twitter:
Correction: An earlier version of this story incorrectly stated that Amundi has $1.02 billion under management; it has $1.02 trillion under management.