The 18-year-old winger - whose full name is Armindo Tué Na Bangna - is widely regarded as one of the brightest young talents in Portugal at the moment, and as such has attracted interest from a host of top European clubs.
Bruma is yet to fully establish himself in the Sporting Lisbon first-team, and is reportedly growing frustrated at manager Jesualdo Ferreira's reluctance to play him.
Such unrest could prompt a swift exit from the Estadio Jose Alvalade, with a long list of suitors queuing up to sign the talented teenager.
Red Devils boss Sir Alex Ferguson is believed to have sent scouts to run the rule over the Portugal U19 international, and is ready to offer him the chance to move to Old Trafford.
Manchester United will look to utilise their strong relationship with the Primeira Liga club, whom they have dealt with on many occasions, most notably in the transfers of Cristiano Ronaldo and Nani.
The newly crowned Premier League champions will face significant competition for Bruma's signature, though, as Chelsea weigh up a rival bid for his services.
Stamford Bridge owner Roman Abramovich is willing to bankroll the move, as he looks to get one over on potential title rivals Manchester United.
Meanwhile, Manchester City manager Roberto Mancini completes a trio of interested Premier League parties ready to tussle for a player that last month was linked with a £4million move to Bayern Munich.