If the EU or any government wanted to collect fines, taxes, or whatever from a business operating in their jurisdiction, they would not have any problem debiting their money transfers. All large transactions are electronic, so garnishing part of any businesses cash flow would be relatively easy. ONCE they got a court order. Court costs and ensuing penalties could easily double or triple the actual fine then too. If a corporation wants to do business in a country, it has to play by the countries rules.
The bigger the corporation, the more able it is to get the countries pols, or regulators to pass and/or enforce rules that favor it and discourage it's competitors. This has varying degrees of success, depending on the countries existing laws, local media, customs, etc., but once passed the laws can be enforced. Said enforcement being done according to the spirit of the law and good government principles or based on who gives the biggest bribes, usually a combination of both, In democracies with elected officials the ability of a pol to spin the passage of a law or, as in this case enforcement of an existing law, with protecting his constituency is a win, win for the pol. He gets to impress his constituency and secure campaign contributions from the corporation(s) his actions benefit.
There is no free market. That's a fairy tale fed to consumers by the corporate interests. As long as the populace benefits and is content with the offerings, which is influenced by the media, cultural norms, etc., the corporations can siphon as much as they want out of the cash flow the citizenry generates. When they over reach and the facade comes tumbling down as it recently has with the mortgage crisis, the public has to be fed more bones and the most obvious inequities addressed.
Monopolies are GREAT for the monopolist, bad for everyone else. They stifle innovation, encourage inequities in income, and when they get too obvious force the government (pols) to act, as they did breaking up Standard Oil at the beginning of the last century in the US.