The 19-year-old attacking midfielder is out of contract at United at the end of June.
United have given themselves May 21 deadline to make a final attempt to convince the youngster to put pen to paper on a new deal, according to the report.
It has been added that Arsenal, Barcelona, Inter Milan and Borussia Dortmund all want to sign Gomes on a free transfer this summer.
Football in England is suspended at the moment due to the coronavirus pandemic.
Stats
Gomes has made two substitute appearances in the Premier League for United so far this season, and has also played thrice in the Europa League, according to WhoScored.