Arsenal and Chelsea were both linked strongly with Antoine Griezmann last summer, per the Express, whilst Mourinho's side are still said interested in a move at the end of this season. Meanwhile, according to German outlet Sport Bild, Bayern Munich are also keen to swoop.
The two English sides might now regret not having made their move at the end of last season, before Atletico Madrid sprang forth to sign the Frenchman from Real Sociedad, for a fee of €30 million.
Griezmann made a somewhat slow start with Atletico, and needed time to settle in, going the first nine league games without hitting the back of the net.
However, Diego Simeone kept faith in the talented 24-year-old, convinced the player would prove worth the investment. Griezmann certainly hasn't let the Argentine coach down, proving that trust wasn't misplaced.
The French international has certainly taken to his more central attacking role with aplomb, having initially struggled to make an impact, when attacking from wider areas.
Since November 2014, he seems to have found his shooting boots and since then, has been practically unstoppable.
On Saturday against Deportivo La Coruña at the Vicente Calderon, it took Griezmann just five minutes to notch his 22nd goal of the season in all competitions, doing so with a spectacular acrobatic finish.
Atletico fans didn't have to wait much longer for the next, as Griezmann's 23nd goal of the campaign soon followed. A much simpler, but predatory finish at the far-post in the 22nd minute.
Holding such a comfortable lead, Atletico seemed to take their foot off the gas a little in the second half, whilst Deportivo seemingly offered little threat.
With just over twenty minutes remaining, Simeone opted to keep Griezmann fresh, replacing him with former Chelsea and Liverpool man, Fernando Torres. Mindful perhaps of the Champions League second-leg battle to come, against Real Madrid.
Deportivo managed to pull a goal back via Oriol Riera, currently on loan from Wigan Athletic, creating a little tension in the final ten minutes of the encounter. The brace of goals from Griezmann were enough though. Atletico clinched the three points, securing a tighter grip on third spot in La Liga.
If Griezmann maintains this sort of form, between now and the end of the season, it seems inevitable Atletico Madrid will have to prepare themselves for an approach.
Surprisingly, the release clause for the player is just €5 million more than the €30 million they paid to Real Sociedad last summer. That certainly won't prove much of an obstacle to for Pep Guardiola at Bayern Munich, or Jose Mourinho at Chelsea. Arsenal boss Arsene Wenger might also be tempted to rekindle his interest.