Diario Gol says Perez is set to makes moves in January to bolster the squad and bring in more experience with several cut-price deals under consideration.
United pair Ander Herrera and Juan Mata have also been mooted; Mata came through the youth ranks at the club, before moving to Valencia to make his breakthrough at first-team level. Both he and Herrera, like Alexis, are all off contract in June.
A third United player, Zlatan Ibrahimovic, is also mentioned, but he hasn't played since April and his age is a negative - given Ronaldo turns 33 in February - while the Swede is also desperate to win the Premier League before he retires.
Can, 23, has been heavily-linked with Juventus amid a contract stalemate at Anfield. His deal also expires in June.