Griezmann has a 100m euro release clause in his contract and the 26-year-old France international said earlier this week that his chances of joining United were “six out of 10”.
Since then, a major stumbling block has been removed by United securing the return of Champions League football. They will go straight into the group stage after their victory over Ajax in Stockholm.
Griezmann has the pace and trickery United lack but, should a move falter, Torino forward Andrea Belotti is another option. The 23-year-old Italy international has scored 25 goals in Serie A this season.
Griezmann has scored 15 goals in 41 appearances for France
Keane, meanwhile, left United for Burnley in January 2015 but Mourinho is known to be eager to bring the 24-year-old defender back to Old Trafford.
The Portuguese views predecessor Louis van Gaal’s decision to sell the centre-back for £2m as a mistake and believes his central defensive options are limited.
In theory, a 25% sell-on clause agreed at the time of that deal should bring the price down. However, Burnley manager Sean Dyche has said the Clarets have no financial need to sell Keane, who made his England debut in March.
Prior to the January transfer window, United showed interest in Benfica’s Sweden centre-back Victor Lindelof, 22, while left-back is another area of weakness.
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