The victims, all female, died when a device exploded in a ladies' bathroom in the capital's crowded Andino shopping center.
Julie Huynh, 23, had been in Colombia finishing up a stint teaching students who were among the country's poorest victims of violence.
Her mother was also injured in the bombing on Saturday, having been in Bogota visiting her daughter.
"She was an extraordinary person who, without even knowing it, deeply changed us," one of Huynh's friends, named Mathilde, said outside the French embassy.
Holding a bright sunflower, Melanie Rousseau, a Frenchwoman who has lived in Colombia for a decade, alluded to the country's peace efforts, saying she hoped the deaths "would not be in vain".
President Juan Manuel Santos called the incident a terrorist attack, but no group has claimed responsibility and authorities are searching for the culprits.
Rebel groups condemned the incident and said it was an attempt to undermine their efforts with the government to end Colombia's half-century civil conflict.
The country's biggest rebel group, the Revolutionary Armed Forces of Colombia (FARC), is scheduled to complete a disarmament process by Tuesday. The last active rebel force, the National Liberation Army (ELN), meanwhile, has started talks with the government, though confrontations with state forces have been continuing.
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