Mourinho will be a guest at the San Siro Stadium on Saturday for the Nerazzurri's clash against Sampdoria, and the Sun's Phil Cadden reported he'll use the time to discuss a return with Inter co-owner Massimo Moratti.
Contrary to this, Football Insider's Wayne Veysey suggested United have already reached a £48 million agreement to appoint Mourinho as Louis van Gaal's successor this summer, which would see him earn £308,000 a week.
The Portuguese is in Milan to celebrate the fifth anniversary of his treble with the Italian giants, one of his best achievements in management and an indication as to why any club might seek his talents.
According to Cadden, Mourinho is "ready to listen to an offer" from Inter as he seeks a return to management, having already rejected the advances of Roma and former club Real Madrid.
The Red Devils lost 2-1 at FC Midtjylland in the first leg of their Europa League round-of-32 clash on Thursday, after which Samuel Luckhurst of the Manchester Evening News argued they should have appointed Mourinho as manager in 2013:
@billrice23 When Moyes was chosen over Mourinho.— Samuel Luckhurst (@samuelluckhurst) February 18, 2016
Cadden mentioned in his report that United's executive vice-chairman, Ed Woodward, still has hope incumbent manager Van Gaal can be a success at Old Trafford.
An extract from Cadden's report read: "But accepting Moratti’s invitation is a sign that Mourinho is growing impatient at United’s failure to act and make a formal approach for his services as executive vice-chairman Ed Woodward retains faith in the struggling Van Gaal."
Thursday's defeat was the club's third successive match without a win. At the final whistle, travelling fans were heard chanting "we're f--king s--t," and Van Gaal claimed such comments may be "right," per the Daily Mail's Chris Wheeler:
When you see the second half maybe they are right.
The fans can criticise. We have to improve and then the fans shall support us again.
They are disappointed like we are. I'm very grateful for the fans who supported us but we wanted to win and we have to win at Old Trafford and then we are in the next round. We have to do it, but it's not easy.
Mourinho left Inter with fond memories in 2010, winning the European and domestic treble before joining Real Madrid and eventually moving back to Chelsea for his second west London stint in 2013.
However, Gianluca Di Marzio translator David Amoyal recently insisted the tactician will still take over at Old Trafford this season:
@redarpit as far as I know Mourinho will go to United after this season ends, he's going to Milan for 5th anniversary of his treble there— David Amoyal (@DavidAmoyal) February 18, 2016
Woodward may be eager to make a success story out of Van Gaal despite signs suggesting the Dutchman is struggling at the club. They have spent heavily on transfers in the past year, and his team are currently fifth in the Premier League.
Per the Press Association, Van Gaal argued that the club's growing injury crisis was largely to blame for Thursday's shock defeat in Denmark:
Despite seeing his second spell as Chelsea boss come to a less-than-gracious end, Mourinho will remain a sought-after boss, especially by a club such as Inter, where he's enjoyed past success.
Wait too long and the Red Devils will leave Mourinho open to be recruited by a European rival, and Inter are in the frame to bring the Special One back to the site of one of his greatest feats.