Movie where crime solvers enter into criminal's mind

I saw this movie in 2002/2003 on Sky Television in New Zealand while staying in a motel, so it was likely to be produced earlier. According to the Wikipedia entry for Sky Television NZ, it was likely to be a HBO movie as that was the main provider for their Sky Movie channel

I don't remember any of the actors, though there is a possibility that the lead female had red hair, but it is a very vague memory, so could be completely wrong.

As I recall the premise is that there is a crime to solve, my recollection is some sort of violent crime, possibly with a psychological torture component. The police(?) have the (male) criminal in custody, but he is in a coma and unable to be woken, so the police have to enter into the criminal's mind via some newly developed technology. I don't recall the crime, but it may have been a remote-controlled murder with a count-down or something along those lines.

One person is chosen to do this; I think a woman. From a vague memory of a scene, they are made to lie head-to-head and then connected by the technology. The person enters the criminal's mind and (somehow) solves the crime. There is a fairly high probability that the criminal's mind attacks her in some fashion, possibly through her fears, which he learns about through the mind linkage, but I don't really recall.

The ascetic was quite basic - bright white rooms, with saturated coloured clothing, possibly orange/red featuring quite a bit. My recollection is that the first entry(ies) into the criminal's brain result in the person entering standing between two planar surfaces (above and below) with white space in between the two, but I don't really recall.

This is The Cell

Child psychologist Catherine Deane is hired to conduct an experimental virtual reality treatment for coma patients: a "Neurological Cartography and Synaptic Transfer System" device managed by doctors Henry West and Miriam Kent that allows her to enter a comatose mind and attempt to coax them into consciousness. The technology is funded by the parents of her patient, Edward Baines, a young boy left comatose by a viral infection that causes an unusual form of schizophrenia. Baines's progress has been hampered by a bogeyman-like alter ego whom Deane avoids. Despite Deane's lack of progress, West and Kent reject Deane's suggestion to reverse the feed to bring Baines into her mind, fearing the consequences of his experiencing an unfamiliar world.

Serial killer Carl Rudolph Stargher traps his victims in a cell-like glass enclosure that slowly fills with water by means of an automatic timer, then uses a hoist in his basement to suspend himself above their bodies while watching the recorded video of their deaths. He succumbs to the same schizophrenic illness and falls into a coma just as the FBI identifies him, leaving them without any leads as to the location of his latest victim, Julia Hickson. After learning of this experimental technology, Agent Peter Novak persuades Deane to enter Stargher's mind and discover Hickson's location.