Jeremy Forrest will not fight extradition proceedings and has agreed to return to the UK as soon as possible, without the need for protracted extradition proceedings, his lawyers said today.
Schoolgirl Megan Stammers is expected to fly home to the UK today more than a week after she went missing with her 30-year-old maths teacher.
The 15-year-old's mother, Danielle Wilson, is due to travel to Bordeaux to be reunited with her daughter and accompany her back home to Eastbourne, East Sussex, the BBC said.
Jeremy Forrest, Megan's teacher, was arrested yesterday on suspicion of child abduction in Bordeaux after the pair went missing last Friday.
He remains in custody in France and will appear in court on Tuesday.
When Jeremy Forrest's father made his appeal to the pair to get in touch, there was a translation into French - part of a determined effort by police in the UK to try and get the story onto French channels.
The strategy worked work - the story was broadcast on the local news here in Bordeaux yesterday and it also reached some of the national stations today.
There is a real feeling here that this was crucial in raising their public profile. That allowed a member of the public to spot the pair and report it to the French police.
Megan's teacher Jeremy Forrest has appeared in a French court and will remain in custody until his next court appearance on Tuesday, French police sources have told ITV News. The hearing lasted around 90 minutes.
Megan's stepfather, Martin Stammers, has retweeted this Sussex Police photo of him with his arm around Chief Inspector Jason Tingley - the officer in charge of the search operation.
He added the message "thank you to all involved".
Channel 4 News is reporting that Megan will be flown out of Bordeaux airport back to the UK this evening.
The news programme added that her teacher Jeremy Forrest will appear before a French court tonight as well as on Tuesday.
Sussex Police have said that one of their child protection officers has flown to France to help Megan. Both are in the care of British consular staff.
They also said that a British police officer was coordinating the French side of the investigation.
Sussex Police say members of Megan's family have already spoken to her on the phone.
They also said they have had sightings across Europe all week, but they had four sightings in France, and in particular two in the south-west of France.
The breakthrough apparently came yesterday afternoon when they had a third in the south-west of France, specifically in Bordeaux.
A member of the French public who had seen the French media appeals and got in touch, and from that police were able to locate Megan.
Megan's teacher, Jeremy Forrest, has been arrested under a European arrest warrant. In theory, he should be extradited to Britain where he will appear in a British court fairly soon.
Megan's teacher Jeremy Forrest is being held in the Palais de Justice in Bordeaux, according to local journalists.
The president of the appeal court is to decide whether he remains in custody until his first public hearing at 11:30am on Tuesday.
The Reuters news agency has released this image which it says shows Jeremy Forrest in a French police car.
He is still in police custody in Bordeaux as the extradition operation is gets under way.