Manchester United already have a firm plan in place ahead of next summer's transfer window with Jose Mourinho set on bringing Atletico Madrid striker Antoine Girezmann to Old Trafford.
The Red Devils are still recovering from a hugely impressive off-season in which two of the game's biggest stars joined the club. Zlatan Ibrahimovic arrived on a free transfer from PSG while Paul Pogba completed a record-breaking return four years after leaving for Juventus.
Along with Henrikh Mkhitaryan and Eric Bailly, they make up the core quartet that Mourinho had originally targeted before he even took over from Louis van Gaal. With three wins from three in the Premier League, they appear to have transformed the squad.
However, Mourinho and executive vice chairman Ed Woodward have already started to plan for 2017 where they will be targeting a deal just a smidgen smaller than the £89m they paid for Pogba.
And they have good reason to believe that Griezmann, 25, will be tempted into moving to Manchester United, especially if they have Champions League football back on the table.
They would have to meet his €100m release clause, currently estimated to be around £84m, but if he continues to score goals in their dozens this season, such an outlay would be considered reasonable in today's transfer market.
Their confidence spawns from the fact that Manchester United is currently littered with some of the best French footballers. Pogba came in this summer, joining Anthony Martial and Morgan Schneiderlin at the club. Eric Bailly is also a native French speaker.
In particular, Griezmann and Schneiderlin are thought to share a very close relationship while he is also growing closer to Pogba. The two shared a short break together in Miami this summer and Griezmann also tweeted #PogBack when the midfielder's move to United was confirmed.
Although it was merely recognition of his friend's new career path, it was enough to get plenty of Manchester United fans excited.
Attached to Simeone
However, much appears to depend on the future of Diego Simeone. Griezmann recently claimed he would not leave the Vicente Calderon while the Argentine is still in charge. Simeone was the man behind Griezmann's original move to Atletico in 2014 and the pair enjoy an exceptionally fruitful working relationship.
"Simeone is a very important person for me, and that is why I called him before renewing [contract]," said Griezmann.
"He told me he was staying and that was sufficient for me. I'm happy in Spain and I have a lot of things to learn from him."
Recent reports have suggested that Simeone could look to leave Atletico next summer. As one of the game's brightest managers, he would have no shortage of offers.