They also say women will enjoy freedoms the Taliban themselves once brutally repressed.
The less strident substance and tone from the Islamist militant group comes in speeches delivered at a conference in France. Kabul government officials also took part.
The group said a future constitution would protect civil and political rights of all Afghans, stressing that the Taliban was "not looking to monopolise power," and women would be allowed schooling and work.
The speech, received from the Taliban spokesman, reiterated the group's consistent policy lines - that the current Kabul government is illegitimate and that all foreign troops must be pulled out of the country.