French President Nicolas Sarkozy was sent to hospital on July 26 after he fell ill while doing physical exercise, his office said in a statement.
"He is currently undergoing extra examinations," the statement said, adding "other information will be released later."
French officials said Sarkozy, 54, fell ill while doing sports at La Lanterne near the Versailles Palace outside Paris.
French health minister Roselyne Bachelot said Sarkozy suffered a vasovagular episode while jogging.
A military helicopter flew over the Versailles forest and was supposed to carry Sarkozy to a military hospital for treatment, local media said.
Sarkozy is "doing well" and can normally talk with medical staff at a Paris military hospital, his chief of staff Claude Gueant said.
Sarkozy, who was elected as president in 2007, is a jogging and cycling enthusiast.