The Portuguese winger joined the Red Devils in 2010 but has made only seven appearances since then and is now on loan with Pacos de Ferreira, with his parent club still paying the majority of his wages.
According to Goal, Manchester United are searching for a buyer for the 23-year-old, who still has two years remaining on his £30,000-per-week contract.
The Old Trafford club looked to offload him in the summer transfer window but failed to find a buyer, and are now considering their options with €2.9 million in wages still owed to the Portugal U21 ace.
Manchester United are believed to have paid €9 million for Bebe just five weeks after signed for Vitória de Guimarães in the summer of 2010 - however his career at Old Trafford has failed to take off.
He has been out on loan three times overall, with Besiktas taking him on during the 2011/12 campaign but failing to take up the option to make the move permanent.
Last year he joined Portuguese outfit Rio Ave where he made 17 appearances before starting his loan spell with Pacos de Ferreira earlier this month.