Protesters picketed the home of Colombian President Ivan Duque on Friday, defying a curfew and the leader's promises of a "national conversation" on social policies following massive anti-government demonstrations that have left three dead and dozens wounded.

"Starting next week, I will launch a national conversation to strengthen the current social policy agenda, working in a united way with medium- and long-term vision, which will allow us to close the social gaps," Duque has said in a televised speech earlier in the day.

"This conversation will take place regionally with all the social and political sectors. I will use electronic media and participatory mechanisms... so that we can all build a meaningful path of reform."