Ossie Ardiles is recovering in a Falklands Island hospital after he was involved in a car accident which left him needing at least 20 stitches to his head.
Ardiles' former Spurs team-mate Ricky Villa was also involved in the incident, which took place while the pair were on the island to film a documentary for ESPN.
Ardiles remains in the King Edward VII Memorial Hospital in Stanley, but his son Pablo said the 61-year-old was "fine".
Press Association Sport understands Villa has been discharged from the hospital.
"My understanding is he (Ardiles) is fine," Pablo Ardiles told the BBC.
"He has 20 odd stitches in his head and my understanding is he has been hospitalised overnight. But he's fine.
"Ricky Villa and my brother [Federico Ardiles] were out there but they are okay."
The Falkland Islands Government confirmed full details of the accident in a statement, saying it was a single vehicle road traffic collision and the car the group were travelling in left the road and crashed about 14 miles from Darwin.
Ardiles and Villa spent 15 years on the playing staff at Tottenham between them.
A statement from the club read: "All at the club wish Ossie Ardiles and Ricky Villa speedy recoveries after they were involved in a car accident in the Falklands on Monday evening.
"We have been in touch with Ossie's friends and relatives and have been informed that both Ricky and he were fine, and that Ossie suffered a cut to the head that required stitches, but he remained conscious throughout. Ossie remains in hospital."
Ardiles signed for Tottenham in 1978 from Huracan, winning the FA Cup with them in 1981.
He headed to Paris St Germain for a year on loan during the Falklands War, but returned to help the club to the UEFA Cup in 1984.
The Argentinian played 311 times for Tottenham. Ardiles also had a brief and unsuccessful spell as manager, but he is still revered by Spurs fans and is a regular at the club's games.
Villa joined Spurs at the same time as Ardiles and scored twice in the '81 FA Cup final replay win against Manchester City.