PARIS — French authorities expressed relief Sunday after mass protests over rising living costs resulted in less violence than previous weekends. But police expect new demonstrations as high schools at the heart of the movement reopen Monday after their autumn break.

Germany faced its own challenges after nationwide protests Saturday ended with rioters attacking police and looting stores in some cities. Around Europe, hundreds of thousands joined overwhelmingly peaceful marches Saturday inspired by young people, despite scattered unrest.

In Paris, rioters targeted police with Molotov cocktails at the end of Saturday’s march on the city’s eastern edge, injuring three officers and setting a car ablaze, police said. Across town, masked groups hurled fireworks at officers at a viewpoint across from the Eiffel Tower, and police charged repeatedly, sending panicked tourists fleeing the area.

Overall, however, the violence was less severe than on Oct. 17, when a city hall was torched and more than 2,000 stores were looted in hours of violence that authorities seemed unprepared to control, or during follow-up protests Oct. 24.

Police had arrested 779 people as of Saturday night, compared with 2,628 on Oct. 17 and 1,314 last weekend. Paris and Marseille police said a handful of shops were targeted but no major damage was reported.

A national police official said Sunday authorities had prepared for a larger turnout of both of peaceful marchers and troublemakers. About 70,000 police were deployed around the country.

Police are preparing for more tensions as schools reopen Monday and as student groups and labor unions call for new nationwide protests on Tuesday and Thursday, the official told The Associated Press. The official spoke on condition of anonymity because they weren’t authorized to be publicly named according to police policy.

More than 100,000 mostly young people protested peacefully across Germany on Saturday, demanding that the government invest more money in education, housing, climate protection and make daily life more affordable. In some cities the protests turned violent at night.

Following a demonstration in Frankfurt, rioters attacked police downtown and looted stores. Several protesters and officers were injured and 30 people were detained. After police cordoned off an area in the city center, the situation calmed down by early Sunday morning.

“I am shocked by the violent excesses in Frankfurt, which will not go unpunished,” said Boris Rhein, the governor of Hesse, where Frankfurt is located. “Anyone who behaves like the attackers in downtown Frankfurt places themselves outside our society.’' Violence also broke out Saturday night in Cologne, where police used water cannons to disperse the crowd. In Berlin, protesters attacked police with bottles and pyrotechnics.

The organizers of Saturday’s protests, a youth initiative called “Gen Z regelt” — roughly “Gen Z’s got this” — posted a statement on Instagram distancing itself from “any form of violence, as well as violent acts by other groups or individuals” who were not part of the demonstrations.

German Interior Minister Alexander Dobrindt accused “violent left-wing groups and troublemakers from the immigrant community’’ of hijacking peaceful demonstrations. “The rioters and looters will be identified and held accountable,’' Dobrindt told daily paper Bild on Sunday.

In Portugal, riot police overnight removed protesters by force from a square in Lisbon following protests for more affordable housing. Thousands of people marched through the city during the day and at the end a few hundred camped out in Rossio, an iconic square in downtown Lisbon. Police intervened early Sunday, removing tents and pushing people away, and a few were detained.

Portuguese demonstrators have been protesting for weeks following inspiration from the Spanish movement to call out rising living costs, especially housing costs.