REUTERS/Eric Vidal The European Union will not let the UK keep single market privileges for goods. Theresa May is considering a Brexit proposal based on keeping the UK in the single market for goods but nothing else, according to multiple recent reports. However, the EU will not accept that arrangement, a source close to chief negotiator Michel Barnier told Business Insider. "As soon as give the UK the single market for goods, the market begins to unravel," they said. Prime Minister May is in Brussels for the European Council summit, with Brexit on the agenda.