Sally Morrison said Taylor was resting comfortably and had been receiving family and friends in her room at Cedars-Sinai Medical Center.
"She had a pretty good day Saturday, and a good night," Morrison said.
The 78-year-old Taylor was admitted late last week and is being treated for symptoms caused by congestive heart failure, a condition she disclosed she had back in November 2004.
Morrison didn't know exactly how long Taylor would be in the hospital but said if past treatments are any indication it could be for several more days.
"At this stage, with her history, they're going to want to keep her in for a while just to make sure they've fixed what they needed to fix," Morrison said, who did not offer details of the treatment.
Taylor, who's appeared in more than 50 films, won Oscars for her performances in "Butterfield 8" (1960) and "Who's Afraid of Virginia Woolf?" (1966). But she's been just as famous for her marriages - all eight of them, including two to Richard Burton - and her lifelong battles with substance abuse, her weight and physical ailments, including numerous visits to the hospital for more than 20 major operations and countless treatments.
The actress had near-fatal bouts with pneumonia in 1961 and 1990, and another respiratory infection forced her to cancel all engagements for several weeks in late 1992. She had both hip joints replaced in 1994 and 1995.
Her 2004 diagnosis for congestive heart failure, compounded with spinal fractures and the effects of scoliosis, left her nearly bedridden. She's also battled ulcers, amoebic dysentery, bursitis, and had a benign brain tumor removed in 1997. In recent years, she has had to use a wheelchair when out in public.