The 23-year-old only joined Bologna last summer in a €9 million (£7.6m) deal from Swiss side FC Basel.
In his first season in Serie A, he scored just one goal and registered one assist, although his campaign was disputed over the winter period due to a hamstring injury which kept him sidelined for nearly six weeks.
At Euro 2024, Ndoye has started all three group games for Switzerland and has been one of their standout performers in the tournament so far.
He scored in the 1-1 draw with Germany last Sunday and is now set to start Switzerland’s last-16 clash against Italy this Saturday.
Inter are also keeping tabs on Ndoye’s situation as they are said to view him as a potential replacement for Denzel Dumfries, who could leave this summer.
United’s new hierarchy, Sir Jim Ratcliffe and INEOS, are already familiar with Ndoye following the two seasons he spent at Nice.
When asked about his future last week, Ndoye said: ‘Football goes very fast – one day you are very high and one day you are low.
‘I want to continue playing like this and stay focused on the European Championship with Switzerland.’
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