The Italian giants have a serious interest in United and Belgium striker Romelu Lukaku.
The Belgian also wants to move as he does not feel he will be first choice under Ole Gunnar Solskjaer next season.
However, United's asking price for Lukaku is a little too rich for Inter's capabilities.
ESPN says Inter offered Icardi or Nainggolan as part of the move, but both options were rejected by United.
United want a fee of close to £80 million for Lukaku.