President Ibrahim Boubacar Keita has declared a 10-day state of emergency and three days of national mourning.
Speaking outside the luxury Radisson Blu hotel a day after it was attacked the president said that the country remained open for business.
"Mali is not and will never be a closed border zone. Paris isn't, Geneva isn't, New York isn't, Moscow isn't," he said.
Meanwhile Malian security forces are hunting for three suspects connected to the attack on a hotel in the capital, Bamako, on Friday, in which 19 were killed.
Two of the militants were also killed, after Special Forces stormed the hotel, freeing dozens of trapped guests. Al-Qaeda in the Islamic Maghreb and its affiliate, al-Murabitoun have owned up, saying they carried out the attack.
Gunmen entered the hotel on Friday morning, shooting and driving their vehicle through a security barrier, one eyewitness said.
Most of the hotel guests and staff were freed hours later when Malian Special Forces, French special forces and off-duty US servicemen stormed the hotel to end the siege.
It is not clear if the suspects now being sought took part in the attack or were accomplices.
The exact number of gunmen is also not known. Eyewitnesses said up to 13 entered the hotel shooting, however the company that runs the hotel, Rezidor Group, said on Friday that only two attackers were involved.