United had made respective offers for both at different stages of the summer transfer window, but they were ultimately forced to wait for at least another year.
Griezmann, 26, was eager to seal a switch from Atletico Madrid over the summer, but he had a change of mind after the Spanish club fail to win their appeal against a transfer ban which only concludes in January.
He will be available for a release clause of around €100m midway through the campaign, but it is highly unlikely that the Frenchman would prefer leaving Atleti during the winter transfer window.
The Welshman’s future at the Bernabeu is not entirely secure following the emergence of Marco Asensio, and it would not come as a surprise if he does decide to part ways with the European champions next summer.
As per M.E.N, United could move for one of the world-class duo next summer as accommodating both would not be suitable due to the presence of emerging talents in the form of Marcus Rashford and Anthony Martial.