The Dutch coach oversaw an extensive overhaul of his squad during the summer, with the likes of Matteo Darmian, Anthony Martial, Memphis Depay, Morgan Schneiderlin and Bastian Schweinsteiger all being brought to Old Trafford.
However, the additions have failed to have the desired effect, specifically in attack, where the Red Devils have been a muted force in recent weeks.
While Wayne Rooney ended their goal drought with the winner against CSKA Moscow, United remain the third-lowest scorers in the top half of the table, and have found the net nine times fewer than leaders Manchester City.
According to the Daily Mail, van Gaal is seeking to remedy this failing in January and has targeted a quartet of talents in order to bolster his offensive options.
The source name Lazio’s Felipe Anderson, Sadio Mane at Southampton, Riyad Mahrez at Leicester and Anwar El Ghazi of Ajax as the four players being considered by the Dutch coach, while Gareth Bale has been tipped as a more ambitious option.
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Of these four, Mahrez may appear to be the best bet. The Algeria international is one of the in-form players in world football today, and he has scored seven and contributed five assists in the EPL so far this term.
However, should the Red Devils move for the North African, they may face competition from Arsenal, with The Guardian linking the Gunners with a move for the talented 24-year-old.