Several thousand gathered for the second weekend in a row at the Republique square in central Paris, while there were other smaller demonstrations in regional cities Marseille and Bordeaux.
"We need to get rid of the system," 24-year-old protester Ahmed Eddaidj, who was wrapped in an Algerian flag, told AFP in Paris.
The student, who has been in France for four years, added: "I'd like to go back to Algeria, but there's no work. We're looking for a better life."
Rachid Nekkaz -- a businessman and political activist opposed to Bouteflika -- was among those in Paris on Sunday after he was released by Swiss police.
Nekkaz, who was arrested on Friday at a Geneva hospital where Bouteflika has been receiving treatment, was carried briefly on the shoulders of a group of demonstrators.
France, which ruled Algeria for more than 100 years as a colonial power, is home to the largest population of Algerian-origin people outside of the north African country.
Around 1.7 million people of Algerian origin are estimated to live in France, according to national statistics agency INSEE.
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