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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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.