Filming on the CBS comedy was suspended in February, following a string of public rants from Sheen. Executives subsequently fired the actor and cancelled the remainder of the scheduled season.
E! Online reports that Entourage actor Jeremy Piven is the latest name to be attached to the role of Charlie Harper.
However, Piven's rep Stan Rosenfield told E! News: "[Neither Piven] nor anyone who reps him knows anything about this."
John Stamos and Rob Lowe have previously been linked to the show in Sheen's absence.
Earlier this week, it was reported that Sheen could possibly be rehired by the comedy, but it later emerged that Sheen stands "no chance" of a reinstatement.