The solidly-built Hungarian, a former property businessman, gave media the evil eye as he travelled under heavy police escort between Central Festival Phuket in Phuket City, where he and an accomplice bought plastic bags, the house nearby where the killing took place, and the jungle spot where the body was dumped.
Phuketwan has obtained photographs taken inside the house where the reenactment took place and publishes them in the public interest.
Other shoppers are thought to have been surprised as Mr David, 38, and the accompanying police reenacted the purchase of the bags in Central Festival Phuket.
David told police that he hit Peter Reisz with a wooden beam then knifed him to death inside the house in Phanason Residence, not far from Central Festival Phuket, on November 24.
He and his friend then loaded Reisz into plastic bags and put him in Reisz's own white pickup. They then drove to an isolated spot near Patong Hill where they dumped the body, police said. Reisz was found on November 30.
Police arrested David earlier this week at an ATM in MBK shopping centre in Bangkok.
His alleged accomplice, Kvalka Lajos Gyoerey, also believed to be Hungarian, is still being pursued.
David is likely to appear in Phuket Provincial Court later today.
Police will be keen to question him about the disappearance of Hungarian billionaire Laszlo Csepai in Thailand earlier this year.