Jose Mourinho is desperate to sign a centre-back before Thursday's transfer deadline and with potential deals for Harry Maguire and Toby Alderweireld not coming off, United have turned their attention to the Germany worldwide.
And journalist Christian Falk, who works for German newspaper Bild, claims United contacted Bayern over a deal for Boateng on Sunday.
However, it won't come as a surprise to anyone if he joins Manchester United as he is looking forward to trying a new challenge and there aren't any names bigger than the Red Devils as of now. He told MUTV, "If we don't make our team better it will be a hard season for us".
Rashford was only set to return to training on Sunday after playing a part in England's run to the World Cup third-place play-off match, in which they lost 2-0 to Belgium.
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This pre-season has been dominated by Mourinho's gloomy demeanour and clear frustration over transfers, an issue which places his relationship with executive vice-chairman Woodward in the spotlight.
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You wouldn't have known looking at the two teams and the first 45 minutes were played nearly entirely in United's half.
Marcus Rashford's first appearance since the World Cup failed to inspire Jose Mourinho's men, who were outclassed and starved of possession in their last friendly before Friday's Premier League opener at home to Leicester City.
A new attacker is on the agenda as Anthony Martial has gone public with his desire to leave Old Trafford this summer having fallen out of favour under Mourinho during the second half of last season and Willian has been strongly touted as a potential replacement.
The players were, once more, brilliant, they could not have done better than what they did.
"The other clubs that compete with us are really strong", Mourinho said, before his side were comprehensively dominated in a 1-0 defeat by Bayern Munich.