Rwanda-backed rebels who have captured eastern Congo’s largest city say they plan to take their rebellion to the capital and seek to gain political power.

After three years on the run from the Rwandan-backed M23 insurgency in eastern Congo, on Sunday, with the rebels fighting their way into Goma's city outskirts, Colleta Nzambonimpa found herself in church with nowhere left to turn.

Much of the beleagured city of Goma was calm early Wednesday morning, after a day during which thousands of fleeing people hunkered down by roadsides as missiles flew and injured people streamed to overwhelmed hospitals.