I work for a small company that deals mainly with even smaller companies. We have less than 50 employees (sometimes a few of these are Polish) and most of our customers are self-employed people, and very few employ more than five or six people. In many sectors of business, anything approaching the communist model (whatever that is) are impossible. Now talk about the NHS or something and that's a different game entirely. But then, numbers bigger than about 12 mean very little to me. We people of the soil are simple folk.
There is no communism in EU nowadays. But there is a SOCIALISM. In the term of Socialism I mean the modern "Economy of Welfare". If you check economic indexes in the 'old' EU countries (e.g. Sweden, France, Germany or even Great Britain) you will find them to be more socialistic than in the 'new' EU members such as Poland or Czech Republic.
Anyway, any American would consider our European economies as a communistic relict (but still, they have Obama as a president now so that's gonna change soon ;-]).