PARIS (Reuters) - France's central government asked some local authorities to impose curfews as it faced pressure over security failings on Monday after a weekend of riots and looting stemming from nationwide anti-government protests.

Prime Minister Sebastien Lecornu ruled out a blanket curfew in Paris but not a state of emergency. But he said it was more appropriate for now to apply partial and localized curfews, without providing details.

"My determination to restore order is absolute," he told reporters. Ariel Weil, the Socialist mayor of central Paris, said on BFM TV he favored a curfew.

Marseille banned gatherings and demonstrations. French unions meanwhile called for a new round of strikes and rallies on November 5.

The weekend of looting and violence between some protesters and police followed weeks of student demonstrations, rocking France six months ahead of its next presidential election and highlighting pressures from a weak economy and surging debt.

Minister Blames Far Left

Lecornu blamed far-left groups for some of France's worst unrest in years. "There is, after all, a far-left movement that wants to cause — we can’t put it any more strongly — profound unrest in the country in the run-up to the presidential election," he said.

Hard-left presidential candidate Jean-Luc Melenchon urged him to provide evidence. "Otherwise, he should apologize, keep quiet and stop fanning the flames of unrest," he said on X.

The Federation of Trade and Retail said almost 3,000 shops had been affected over the weekend.

"Once again, the retail sector finds itself on the front line, at a time when it is already weakened by a succession of crises," it said.

"Behind every ransacked shop are business owners, employees and families who have seen years of work and effort wiped out in a matter of hours," it added, calling for social security and tax relief for affected businesses.

Lecornu said the government would provide furlough measures from Tuesday.

Standing before a boarded-up shopfront, Gerard Nouchi, manager of two clothing stores in Marseille, said there weren't enough police to stop the looters.

"They trashed everything, broke things, insulted us,” Nouchi said. "It was like a real tornado."

The government ordered platforms selling looted goods to take down announcements and collaborate to prosecute resellers, Junior Digital Minister Anne Le Hénanff wrote on X.

Some 2,400 people were arrested and one protester died from a cardiac arrest on Saturday while nearly 1,000 officers were injured, according to the Interior Ministry.

'Left Without Protection'

French assets were underperforming broader European markets on Monday, though moves were more contained than at some other moments of recent political friction.

Tensions in President Emmanuel Macron's fragile government over apparent security shortcomings — coming as the government needs to pass a budget bill to rein in its finances — could further unsettle investors.

Macron's office said on Monday he had turned down his Interior Minister Laurent Nunez's offer to resign, telling him instead to put an end to barricades and looting and be transparent over what Macron called "intelligence and foresight failings".

Nunez told reporters that Tuesday evening's Champions League soccer match between Paris Saint-Germain and Barcelona would go ahead as planned.

The mayors of Paris, Marseille and Lyon said in a joint op-ed in the newspaper Liberation that they were used to demonstrations and protests.

"But on Saturday ... for the first time, we had the feeling that whole sections of our cities had been left without protection," said the mayors, all from the centre-left.

The start of school holidays on Monday may provide relief, but students were staging more gatherings and blockades in some places, including the Louvre gallery and Sciences Po university in central Paris.

Luxury Boutiques Damaged

At the weekend, hundreds of thousands took to the streets to protest over what many say are declining and dysfunctional public services.

At the Place Vendome in Paris, home to luxury hotels and boutiques, most shops were shuttered and surrounded by security guards on Monday. The front door of a Dior boutique was smashed, while windows belonging to other luxury brand stores in central Paris, including Rolex, Louis Vuitton, Ralph Lauren and Gucci, were damaged.

In Marseille, Ligue 1 club Olympique de Marseille said its official store on the city's historic main avenue had been looted, while a town hall in central France was torched.

France deployed 60,000 police and other security forces on Saturday, Nunez told France Inter radio, but he acknowledged that was not enough to control violent crowds.

Cost-of-living issues also drove weekend protests in other European countries including Italy, Belgium and Albania.

European governments have advised citizens travelling to France to avoid large crowds and exercise caution.

As France was busy cleaning up its streets, Macron arrived in Kuwait for a Gulf trip aimed at securing additional petrol and diesel supplies to bring down pump prices.

(Reporting by Zhifan Liu, Tassilo Hummel, Elizabeth Pineau, Dominique Vidalon and Alessandro Parodi in Paris, Sudip Kar-Gupta in Brussels, Amanda Cooper, Alun John and Helen Reid in London; Writing by Tassilo Hummel and Charlie Devereux; Editing by Aidan Lewis and Andrew Cawthorne)