United failed with an offer for the Ghana international over the summer before he committed to a new deal with Bournemouth to 2030.
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That new agreement includes a £65m buyout clause, which can be triggered in the first two weeks of the January market.
The Athletic's David Ornstein, speaking on NBC Sports, stated: "I believe Manchester United’s interest in Antoine Semenyo remains strong.
"It is said that interested clubs include Liverpool, Manchester City and Tottenham.
“But I have no knowledge of them taking any action at this time. We are also unsure of the player’s preference at the moment.”