Fifty-five people arrested during the disorder are being questioned.
Clashes have broken out in Enfield, north London, where shop windows have been smashed and a police car damaged.
Riot police were deployed to the area, and the Met Police said "several arrests" had been made after shops were vandalised.
Shops in Enfield Town and the A10 retail park were vandalised and looted from about 18:00 BST and there were reports of two vehicles being set on fire.
Conservative MP for Enfield North, Nick de Bois said police had been targeted.
He said: "We saw an attack on a police vehicle. I saw it from a distance and that seemed to set things off to a new level.
"I think the police have been doing a fantastic job trying to contain things."
The MP said it was clear that many people came to the area "on an organised day using the social media, phoning their friends, in a concerted effort to just move trouble up and capitalise on those awful events at the weekend".
The leader of Enfield Council, Doug Taylor, said he believed the disturbances there were linked to the riots in Tottenham.
He said: "There's got to be a link to that extent that it's the day after and the police are hugely well organised in Tottenham so maybe this was seen as the place to have a second night.
"There's simply no place for this sort of action. It's got nothing to do with the shooting in Tottenham, we're a different borough."
The Met said it has put additional high visibility patrols working across the capital on Sunday night.
Commander Christine Jones said: "We are carefully monitoring any intelligence and ensuring we have our resources in the right places. No one wants to see a repeat of the scenes that we witnessed last night in Tottenham."
The violence erupted on Saturday night and Sunday morning following a protest over the fatal shooting of a local man.
Shops were attacked and looted, 26 police officers and three others hurt and buildings and vehicles were set ablaze.
Read more: bbc
