The rebel chief was killed in the ensuing gunfight with presidential guards.
"HE'S A FIGHTER"
Australian doctors will carry out more operations over the weekend to repair damage to Ramos-Horta's right lung and remove bullet fragments.
"He's a fighter. I know old Jose, he's a fighter," Rudd said, declining to comment on the president's condition.
East Timor's parliament has imposed a state of emergency following the latest unrest, with Australian special forces soldiers hunting rebels in hills near the capital.
The tiny nation's prosecutor-general issued arrest warrants for 24 people suspected of involvement in the attacks.
In Dili, the streets were calm and shops, offices and banks were open. Fears of violence in the wake of the double assassination attempt have so far proved unfounded.
"I only hope there will be no more unrest and rebellion. Because of the rebellion, the government imposed the state of emergency and we can't do anything at night. We just stay at home. It is not good for us young people," said Adriano da Costa, a shopkeeper in central Dili.
Reinado led a revolt against the government and was charged with murder after the factional violence in 2006. Later that year, he escaped jail with 50 other inmates, embarrassing security forces.
The man who claims to have taken command of rebel soldiers after Reinado's death, former army lieutenant Gastao Salsinha, on Friday said he would resist capture if located at a safehouse he told Australia's Channel Nine television was in Dili.
"I am also a soldier so I have dignity as a soldier. If a soldier comes to attack me I will fight back," he said.
East Timor gained full independence from Indonesia in 2002 after a U.N.-sponsored vote in 1999 that was marred by violence. Indonesian invaded the former Portuguese colony in 1975. Many thousands of East Timorese died during the brutal occupation.
