The Nobel Peace laureate is recovering from bullet wounds to his body.
Rebel leader Alfredo Reinado died in the attack on February 11.
News of the president's slow recovery came as an FBI team joined the investigation into the attacks, including a bid on the life of Xanana Gusmao, the prime minister.
About an hour after the attack on Ramos-Horta, suspected rebels fired at the convoy Gusmao was in but he escaped unhurt.
|The military said it will continue to|
monitor the situation [EPA]
Three FBI agents arrived in Dili on Wednesday to assist international police officers already investigating the attacks.
"We are very committed to trying to assist the prosecutor-general uncover all the facts of the case," Hans George Klemm, the US ambassador, said.
Following the attacks, a state of emergency was imposed until February 23.
Manhunt called off
On Wednesday, the country's military called off a manhunt for suspected rebels accused of trying to kill the two leaders.
Australian-led international peacekeepers along with UN police, national police and the military had been searching for more than a dozen renegade soldiers suspected of carrying out the attacks.
Taur Matan Ruak, the national army chief, said they will stop searching the hills outside Dili but will continue to monitor the situation.
"We have already cancelled our operations," he said, but added that "cancelling does not mean that there will not be any operation again".
The withdrawal highlights fraught relations between the military and the international forces stationed in the country.
Senior officials, including Matan Ruak, have demanded an explanation on how the Australian-led International Stabilisation Force and some 1,700 UN police failed to prevent the attackers from reaching their two targets.