Concerns about the economic costs of globalisation for certain groups in society have led to the creation of the European Globalisation Adjustment Fund, an EU initiative which aims to help workers made redundant as a result of changing global trade patterns to find another job as quickly as possible.
I should also note that, generally speaking, surveys indicate that people in the EU are not protectionist, though they are somewhat more so in France. However, Europeans are more inclined to support redistribution, and this is in keeping with recent results in the literature indicating that Europeans are more concerned about inequality more than the Americans.