AC Milan manager Vincenzo Montella admitted yesterday that the forward could leave the San Siro before deadline day.
The 22-year-old has been at Milan since 2012 but has been loaned out twice and apparently wants to join a club that strongly believes in his quality.
Niang is versatile across the front line and can play as a winger or up front.
AC Milan's M'Baye Niang has three goals and two assists in 18 Serie A appearances this season
And according to Italian website Tuttomercatoweb, Liverpool and West Ham are in for the Frenchman.
Crystal Palace are also said to be interested, but the other two teams appear to have the upper hand.
A switch back to Genoa is being snubbed by Niang, and he is now looking to organise his own route out of Italy.
Niang has been pictured in a Milan hotel as he pushes for a permanent departure, having been dropped for tonight’s Coppa Italia quarter-final against Juventus.
Slaven Bilic wants to add firepower to his attack at West Ham before the transfer window closes
Slaven Bilic has had a move for Brentford striker Scott Hogan on hold for some time
Jurgen Klopp will bring in additions this month if he can sign players who will improve his squad.
Meanwhile, Slaven Bilic has had a move for Brentford striker Scott Hogan on hold for some time, with the Championship side also wanting £15m.
AC Milan's N'Baye Niang stands at 6ft 1in and can play anywhere across the front line
West Ham rebel Dimitri Payet continues training with the reserves
Tue, January 24, 2017
West Ham want-away Dimitri Payet has been snapped training with the reserves again
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Dimitri Payet was snapped training with the West Ham reserves today
Should Dimitri Payet secure his return to Marseille this month though, Bilic may look to land both Hogan and Niang to bolster his attack.
Similarly for Palace, if Andros Townsend heads back to Newcastle, Milan’s wantaway forward could be pursued further.
Arsenal have shown interest in the past for Niang but do not appear to be in the running as things stand.