The SNCF rail company chief Jean-Pierre Farandou said services would be back to normal by Monday. But deputy transport minister authorities acknowledged that 160,000 of the 800,000 people due to travel this weekend still faced cancellations.

Nearly one third of trains were cancelled in northern, western and eastern France. About a quarter of Eurostar high speed trains between London and Paris also failed to leave.

No claim of responsibility has been made for the meticulously planned night-time attacks on cabling boxes at junctions north, southwest and east of the French capital, just ahead of Friday’s Olympics opening ceremony in Paris. Maintenance workers thwarted a fourth attack.

But Interior Minister Gerald Darmanin said the investigation was progressing.

“We have uncovered a certain number of elements that allow us to think that we will soon know who is responsible for what clearly did not sabotage the Olympic Games but did sabotage part of the holidays of the French people,” Darmanin told France 2 television.

French authorities are on high alert for a terrorist attack during the Games, which run through August 11. Tens of thousands of police and troops are on Olympics security duties.

Some 250,000 people missed their train on Friday, according to SNCF, because of the attacks that dozens of investigators are now working on.

READ ALSO: Rail sabotage: What to expect if you’re travelling in France this weekend

Three in 10 trains cancelled

About three out of every 10 trains were cancelled Saturday in the three regions affected by the attacks, with most trains still operating delayed by between one and two hours, SNCF said.

Kathleen Cuvellier, speaking in the northern city of Lille, said her journey to Avignon in the south was going to be “hell”.

Cuvellier, travelling with her two-year-old son, said she now had to take a slow train to Paris and then switch to another for Avignon. “The travel time was four hours and now it’s going to be seven”.

“One doesn’t have any choice,” commented Cecile Bonnefond, whose train from Lille to the western city of Nantes was cancelled.

Trains to eastern France have largely returned to normal. But traffic will remain disrupted into Sunday in northern France and into Britain and Belgium, while services to western France would slowly improve, SNCF said.

The company said its staff worked through the night “in difficult conditions in the rain” to get the affected lines working again.

‘Back to normal’

The coordinated attacks staged at 4:00 am early Friday cut fibre optic cables running along the tracks that transmit safety information to train drivers. The attackers also set fire to the cables.

“Everything will be back to normal for Monday morning,” SNCF president Farandou told reporters at Paris Montparnasse station. “We will be ready”.

Most passengers at the station remained patient. But they were given regular loudspeaker reminders that “a malicious act” meant trains would be cancelled or delayed.

Due to the exceptional situation, SNCF station staff have been more flexible than usual, allowing more people on trains than there are seats or refraining from checking tickets.

Anyone planning to travel should check the latest on the SNCF information site here, or download the SNCF Connect app.