Meanwhile, Gusmao said he too escaped an ambush shortly after the attack on the president's home.
He said armed men attacked his motorcade on Monday but no one was injured.
He said the attacks were part of a failed coup attempt.
"Even though the state has been attacked by an armed group and the president was wounded, the state is in control of stability," Gusmao said.
The Australian government has advised its citizens against travel to East Timor, warning that the country could be thrown into instability with a risk of violence "anywhere at any time".
Allison Cooper, a UN spokeswoman in Dili, told Al Jazeera: "The security situation is stable but fragile.
"There are extensive investigations going on."
Alfredo Reinado, a rebel soldier who led the attack on Ramos-Horta's home, was killed as presidential guards returned fire.
One of Ramos-Horta's guards was also killed in the shootout.
|Reinado was jailed for leading a mutiny |
in the army in 2006 [EPA]
Reinado was wanted on murder charges over a flare-up of violence in April and May 2006 that left 37 people dead.
The violence was caused by a split in the military that led to some 600 soldiers - about one-third of the defence force - being sacked.
Reinado was later jailed for leading a mutiny, but escaped from prison in September 2006 along with 50 others and has been on the run ever since.
In November last year, Reinado threatened to use force against the government if it failed to concede to his demands.
East Timor was a Portuguese colony until 1975 and was then invaded by Indonesia, whose brutal rule over the territory led to the deaths of an estimated 200,000 people.
In 1999 a referendum was held on independence, triggering a wave of violence by pro-Indonesian militia.
An Australian-led peacekeeping force restored order and the country declared independence in 2002, but East Timor has continued to be plagued by violence and gang fighting.
Peace or chaos?
Interviewed on Al Jazeera after the attempt on Ramos-Horta's life, Max Lane, a writer and researcher on East Timor, said: "I think on first signals there is a good chance that [political chaos] could be avoided."
He noted that East Timor's political leaders had called for calm, unlike when fighting broke out in 2006, meaning there is greater possibility for peace.
Lane said, however, that keeping Australian troops in East Timor could be counter-productive as resentment might build up against them from the local population.
Instead, he advised handing security to East Timorese forces and providing more financial aid so that the underlying unrest could be quickly resolved.