The 33-year-old who is said to be worth around £850billion and holds the second highest position in the Saudi government behind the King was previously reported to be planning on taking over the Abu Dhabi-based owners of Manchester City in the Premier League.
Now The Sun is reporting that Bin Salman wants to make his mark in the world of football and views the Glazer-owned Manchester United as the perfect acquisition
To acquire the club, it would cost the Saudis more than £3bn to become the new owners of Manchester United.
It is as yet unclear whether the Glazer family would be willing to sell the club, but Co-chairman Avram Glazer's recent whereabouts have fuelled rumours of an imminent sale with him spending most of his time in the Middle East.
According to the reports, Avram is even due to attend the Future Investment Initiative conference in Saudi Arabia's capital Riyadh next week, alongside leading bankers and investors based around the globe.