The European Commission states on its website that aging "is one of the greatest social and economic challenges of the 21st century for European societies. It will affect all EU countries and most policy areas."
In its latest aging report, for instance, the commission forecast that Germany's population will shrink from 81.3 million in 2013 to 70.8 million in 2060—meaning that the Europe's largest economy could do well to accept migrants of working age. Indeed, the country's vice chancellor said this week that Germany could take in 500,000 migrants each year "for several years."
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In addition to solving the problem of aging native populations, Swedish Finance Minister Magdalena Andersson told CNBC on Friday that migrants help Europe boost economic growth and job creation.
"It's important that we see that we do have families of working age coming to the Continent which is an aging continent," she told CNBC in Luxembourg where finance ministers have gathered for the latest economic council.
"Of course, it would put some strains on the public finances in the short term but in the long run this could promote growth and job creation in Europe. We truly have a demographic challenge on this continent and having asylum seekers could be a good thing."
"If we are able to help these people get onto the labor market and start working it will lead to higher growth for Europe as a whole."
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Speaking to reporters ahead of the meeting of European finance ministers Friday, Lithuanian Finance Minister Rimantas Šadžius also expressed optimism that migrants could benefit Europe and his own country.
"I think it is in our common interest to make some use of the situation, to make the best for us and the people coming into Europe—however harsh that may seem to say," he said. "We can make use of this situation for enhancing our economic capacity," Šadžius added.
The European Commission estimates that by 2025 more than 20 percent of Europeans will be 65 or over, with a particularly rapid increase in numbers of over-80s putting more pressures on health-care provision and social services throughout the region.
But while governments might recognize the benefits of migrants for their workforces, public opinion is split on whether to embrace migrants given the social, economic and cultural challenges migration can pose.
At a news conference following the meeting of European finance ministers and central bankers in Luxembourg on Friday where migration matters trumped the rest of the subjects on the agenda, Pierre Moscovici, European commissioner for economic and financial affairs, urged the public to look beyond the migrant crisis just in terms of cost, however.
"(Migration) is not just a cost in economic terms, it is also a resource—a human resource. Our countries need migration ... the economic impact should not just be looked at in a negative way as populists would have it."