Coentrao came close to joining United in a loan deal on deadline day, but the deal fell through in the last few minutes of the window.
The deal fell through as Real Madrid failed to bring in a replacement for Coentrao in time.
United boss David Moyes is keen to bring in competition for Patrice Evra at the left-back, according to Metro.
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Who of Europe’s top strikers will move to England this summer?
After a dreadful start to their Bundesliga campaign, Borussia Dortmund appear to have weathered the storm after going five matches without defeat.