Davidson has gained infamy after escaping along with three other inmates from Bali's Kerobokan Prison on Sunday night, through a drain/waste tunnel leading out of the prison on to a busy street outside.
Bulgarian man Dimitir Nikolon Ilev and Sayed Muhammad Said from India were captured by police in the East Timor capital city of Dili on Thursday after authorities ramped up the search for the four escapees.
Last week, dozens of inmates escaped from an overcrowded prison in western Indonesia after floods caused a wall to collapse.
Wanted posters of the four men have been erected throughout Bali, and gateways as well as airports are on high alert, and Inspector-General of Police Tan Sri Khalid Abu Bakar, also told theSun that entry points here will be put on alert just in case Tee attempts to slip into Malaysia.
Bali police's vice-director of Special Criminal Investigation, Ruddi Setiawan, said Indonesian authorities had arranged to pick the men up soon.
According to The Sydney Morning Herald, in January 2016 Davidson was due in court in Perth on charges of possession of methamphetamine and cannabis, and two other offenses.
The media reported that four foreign prisoners including Tee escaped via a tunnel from a cell in Kerobokan Prison in Bali.
Kerobokan Prison warden Tonny Nainggolan said earlier the tunnel had been covered with concrete and no excavated soil was found nearby. "It's still full with water, we will see when it's dry".
Asked where he thought the were, Pasaribu said: "Only God knows, I hope they're all well".
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Shaun Edward Davidson waiting to be transferred to Kerobokan jail in Bali after being charged with possessing another person's identity and overstaying his visa in April a year ago. "Where it goes, how deep it is and find out all things, to anticipate if they may still be trapped there", he told News Corp Australia from inside Kerobokan prison.
He said the 10 guards on duty at the time of escape had been questioned, but it remained unclear whether any of the officers had involved in the incident.
Kerobokan jail in Bali, where the escape took place.
The police also believe the men had carefully planned their escape.
Davidson, who was sentenced for immigration offences past year after using another man's passport, had just two months and 15 days left to serve.
Next to the tunnel, authorities found two buckets, a towel, cups and sandals, as well as a fork inside.
They tunneled their way out.
On the island of Sumatra last month, more than 400 prisoners broke out of Pekanbaru prison - which was holding about 1800 prisoners - more than double its capacity.
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