Konare, who was head of state from 1992 to 2002, was away from the property in the eastern outskirts of Bamako when the attack took place last night.
But his wife, historian Adame Ba Konare, was at home with the couple's grandchildren when around ten gunmen stormed the compound, a member of the family's official guard told AFP.
"More than ten people dressed in civilian clothes cut the electricity in the area, climbed the walls and fired inside the Konare residence," he said.
"Everything happened quickly. The light was cut in the residence, we heard gunshots and the guards responded."
Malian police recovered "at least one mobile phone" from the body of the assailant who was killed, a source close to the force told AFP.
"We already know that the assailants attacked the premises in one group, who came from the north side of the residence, and another which arrived from the Niger river side," he added.
