El Mundo Deportivo reports that United plan to rival Chelsea and Manchester City for the signature for the Benfica star.
Oliveira is currently on loan to Deportivo la Coruna from Benfica.
The 21-year-old has scored two goals in four La Liga games for Deportivo la Coruna this season.
Oliveira’s current contract with Benfica is set to expire in the summer of 2017.
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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.