The Portuguese dazzler could be on the move from Gala in January.
United are also being linked, where manager Jose Mourinho is a fan of the 21 year-old.
After their meeting in preseason, Bruma revealed: "He congratulated me for the performance and said he was impressed with me. He promised to closely monitor my work and said I could play for the national team soon.
"Of course it was amazing to hear this from Mourinho and he said he will keep an eye on how I do this season."