The Sunday People reports that United are on the verge of a bid for the 17-year-old, who has been compared to Lionel Messi.
The youngster has been hailed as one of the hottest teenagers in Europe and has also been linked with Spanish giants Real Madrid.
United boss David Moyes reportedly sent his aide Jimmy Lumsden to watch Gauld make his Scotland Under-21 debut against Georgia last week.
Reports claim Dundee United are prepared to sell Gauld for around £5million.
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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.