The Bangkok South Criminal Court has denied bail to the Polish man who allegedly murdered and dismembered his Ukrainian girlfriend.

Jan Jerzy Lagoda-Filippow, 25, was arrested on Monday in Sa Kaeo province's Aranyaprathet district as he attempted to enter Cambodia.

He was wanted for allegedly murdering and dismembering Alona Savchenko, 25, at a condominium in Bang Kholaem district in Bangkok after arriving as a tourist on April 29.

Police in Bangkok later took him into custody and the Bangkok South Criminal Court on Wednesday denied his request for bail.

A source said Wat Phraya Krai police found Savchenko's body in a condominium unit. The body was covered with a blanket. They found a stab wound to her chest, and her left arm up from her wrist was dismembered.

Her head had been nearly severed. Police also found a 46-centimetre saw nearby.

According to the post-mortem, the victim might have been dead for 24 hours before her body was discovered.

On Monday, Mr Lagoda-Filippow hailed a taxi and asked the driver if he could find a store which sold deodorant.

He also told the driver he had just murdered his girlfriend and was seeking someone to help him to finish dismembering the body. The taxi driver later told the police that he believed the suspect was joking.

However, when the driver dropped him off at his condominium, the suspect kept talking about the murder. The driver also said a strong smell of blood came from the suspect while they were in the taxi. He said he told condo staff what the suspect said. Later they found the victim's body.