The Sun says Inter have reportedly rejected a transfer bid from United involving Pogba and Milan Skriniar as part of a swap deal.
The Red Devils know the wantaway midfielder can leave for free at the end of next season, unless they trigger a clause in his contract.
Pogba has long been nearing the Old Trafford exit door and a number of top European clubs have shown an interest.
Inter entered the race at the start of this month, with boss Antonio Conte looking to strengthen his midfield further.
United were thought to have approached the Serie A outfit in the hopes of hashing out a swap deal for highly rated defender Skriniar with Pog going the other way.
But Italian journalist Paolo Paganini has claimed that the Nerazzurri have refused the terms as they have no desire to lose their talented centre back.