According to reports, The Premier League trio are keen to land the young Portugal star.
The 21-year-old has been linked with a move to Old Trafford over the last transfer window after some terrific performances for the Turkish side.
Now, according to Portuguese newspaper A Bola, Bruma is now a target for several top Premier League clubs.
Arsenal and Chelsea scouts have been watching him in action recently, and apparently Tottenham and West Ham also sent out scouts to Galatasaray’s 2-0 win over Rizespor on Saturday.
Reports across the UK are also saying The Gunners could make a swoop with Alexis Sanchez’s future in question.
Pep Guardiola is reported to be set to make a January bid to try and bring the winger over to Manchester City.