Martial has been in and out of the side so far this season, but the Red Devils are keen to tie him down.
The 22-year-old has however turned down fresh terms, but the club remains hopeful a deal can be reached.
Martial was expected to sign a new five-year contract, but the two parties are seemingly some way off agreeing terms.
There has been much speculation over the future of the 22-year-old, with rumours of unrest after falling behind Alexis Sanchez in the pecking order last season.
His relationship with manager Jose Mourinho has also been fractious.
