... 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.
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.
Pablo Ardiles: "My understanding is he (Ardiles) is fine.
"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 were out there but they are okay."
Tottenham club statement: "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 north London 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.
In the run up to the final, Tottenham released a song called "Ossie's Dream", which is still sung by Spurs fans today.
Newcastle United Fixtures
Tuesday January 28 - 19:45 Norwich City v Newcastle United
Saturday February 1- 12:45 Newcastle United v Sunderland
Saturday February 8 - 15:00 Chelsea v Newcastle United
Wednesday February 12 - 19:45 Newcastle United v Tottenham
PREMIER LEAGUE
1 Arsenal 51
2 Man City 50
3 Chelsea 49
4 Liverpool 43
5 Tottenham 43
6 Everton 41
7 Man Utd 37
8 Newcastle 36
9 Southampton 31
10 A Villa 24
11 Hull City 23
12 Norwich 23
13 Stoke City 22
14 West Brom 21
15 Swansea 21
16 C Palace 20
17 Fulham 19
18 West Ham 18
19 Sunderland 18
20 Cardiff 18
NEWCASTLE UNITED 2013/14
PREMIER LEAGUE
WEST HAM 1 NEWCASTLE 3 (Cabaye 2, Remy)
Krul, Yanga-Mbiwa, Williamson, S Taylor, Santon (74' Dummett), Tiote, Anita (60' Shola Ameobi), Sissoko, Cabaye, Gouffran, Remy (78' Ben Arfa)
Subs: Cisse, Haidara, Elliot, Obertan
NEWCASTLE 0 MAN CITY 2
Krul, Yanga-Mbiwa (82' Ben Arfa), Williamson, S Taylor, Santon, Anita (73' Cisse), Tiote, Sissoko, Cabaye, Gouffran (82' Haidara), Remy
Subs: Gosling, Elliot, Marveaux, Sammy Ameobi
WEST BROM 1 NEWCASTLE 0
Krul, Debuchy, Williamson, Coloccini (65' Yanga-Mbiwa), Santon, Cabaye, Tiote, Gouffran (45' Ben Arfa), Sissoko, Remy, Shola Ameobi (76' Haidara).
Subs: Anita, Cisse, Elliot, S Taylor
NEWCASTLE 0 ARSENAL 1
Krul, Debuchy, Williamson, Coloccini, Santon, Anita (74' Shola Ameobi), Tiote, Sissoko (79' Haidara), Cabaye, Gouffran (62' Ben Arfa), Remy
Subs: Cisse, Yanga-Mbiwa, Elliot, Sammy Ameobi
NEWCASTLE 5 STOKE CITY 1 (Remy 2, Gouffran, Cabaye, Cisse pen)
Krul, Debuchy, Williamson, Coloccini, Santon (61' Haidara), Anita (45' Shola Ameobi), Sissoko, Ben Arfa, Cabaye, Gouffran (72' Cisse), Remy
Subs: Yanga-Mbiwa, Elliot, Obertan, S Taylor
CRYSTAL PALACE 0 NEWCASTLE 3 (Cabaye, Gabbidon og, Ben Arfa pen)
Krul, Debuchy, Williamson, Coloccini, Santon, Anita, Tiote, Sissoko, Cabaye (79' Ben Arfa), Gouffran, Remy (75' Shola Ameobi).
Subs: Cisse, Yanga-Mbiwa, Haidara, Elliot, Obertan
NEWCASTLE 1 SOUTHAMPTON 1 (Gouffran)
Krul, Debuchy, Williamson, Coloccini, Santon (78' Haidara), Sissoko, Anita, Tiote, Gouffran (73' Ben Arfa), Shola Ameobi (61' Cisse), Remy
Subs: Yanga-Mbiwa, Elliot, Obertan, Sammy Ameobi
MAN UTD 0 NEWCASTLE 1 (Cabaye)
Krul, Debuchy (83' Yanga-Mbiwa), Williamson, Coloccini, Santon, Cabaye (78' Shola Ameobi), Tiote, Anita, Sissoko, Remy, Gouffran (57' Ben Arfa).
Subs: Cisse, Gutierrez, Elliot, Obertan
SWANSEA 3 NEWCASTLE 0
Krul, Debuchy, Williamson (77' Yanga-Mbiwa), Coloccini, Santon (56' Haidara), Sissoko, Tiote, Cabaye, Gouffran, Shola Ameobi (67' Obertan), Remy
Subs: Anita, Elliot, Sammy Ameobi, Dummett
NEWCASTLE 2 WBA 1 (Gouffran, Sissoko)
Krul, Debuchy, Williamson, Coloccini, Santon, Sissoko (90+5' Cisse), Tiote, Cabaye, Gouffran, Shola Ameobi, Remy (84' Anita)
Subs: Ben Arfa, Yanga-Mbiwa, Elliot, Obertan, Sammy Ameobi
NEWCASTLE 2 NORWICH CITY 1 (Remy, Gouffran)
Krul, Yanga-Mbiwa, Williamson, Coloccini, Santon, Sissoko, Tiote, Cabaye (68' Anita), Gouffran (83' Ben Arfa), Shola Ameobi (74' Cisse), Remy.
Subs: Haidara, Elliot, Obertan, Sammy Ameobi
TOTTENHAM 0 NEWCASTLE UTD 1 (Remy)
Krul, Debuchy, Williamson, Yanga-Mbiwa, Santon, Sissoko, Cabaye, Tiote, Gouffran (85' Obertan), Remy (75' Cisse), Shola Ameobi (60' Anita).
Subs: Coloccini, Ben Arfa, Elliot, Sammy Ameobi
NEWCASTLE UTD 2 CHELSEA 0 (Gouffran, Remy)
Krul, Debuchy, Williamson, Yanga-Mbiwa, Santon, Sissoko, Cabaye, Tiote (53' Anita), Gouffran (85' Obertan), Shola Ameobi (62' Cisse).
Subs: Ben Arfa, Elliot, Sammy Ameobi, Tavernier.
SUNDERLAND 2 NEWCASTLE 1 (Debuchy)
Krul, Debuchy, Williamson, Dummett, Santon, Sissoko (45' Cisse), Tiote, Cabaye, Gouffran (86' Sammy Ameobi), Ben Arfa, Remy (70' Shola Ameobi).
Subs: Anita, Haidara, Elliot, Obertan.
NEWCASTLE UTD 2 LIVERPOOL 2 (Cabaye, Dummett)
Krul, Debuchy, Williamson, Yanga-Mbiwa, Santon, Cabaye (78' Sammy Ameobi), Tiote, Gouffran, Sissoko (45' Dummett), Remy, Ben Arfa (78' Anita).
Subs: Cisse, Elliot, Obertan, Dummett.
CARDIFF CITY 1 NEWCASTLE 2 (Remy 2)
Krul, Debuchy, Williamson, Coloccini, Santon, Tiote, Cabaye (86' Ben Arfa), Gouffran, Sissoko, Remy (71' Gutierrez), Cisse
Subs: Anita, Yanga-Mbiwa, Elliot, Sammy Ameobi, Dummett
EVERTON 3 NEWCASTLE 2 (Cabaye, Remy)
Krul, Debuchy, Yanga-Mbiwa (46' Williamson), Coloccini, Santon, Tiote, Anita (69' Cisse), Ben Arfa (46' Cabaye), Sissoko, Gouffran, Remy
Subs: Elliot, Obertan, Sammy Ameobi, Dummett
NEWCASTLE 2 HULL CITY 3 (Remy 2)
Krul, Debuchy (86' Tiote), Yanga-Mbiwa, Coloccini, Santon, Cabaye (62' Gouffran), Anita, Sissoko, Ben Arfa, Cisse (73' Marveaux), Remy
Subs: Williamson, Elliot, Sammy Ameobi, Dummett
ASTON VILLA 1 NEWCASTLE 2 (Ben Arfra, Gouffran)
Krul, Debuchy, Coloccini, Yanga-Mbiwa, Santon, Anita (74' Tiote), Cabaye (88' Sammy Ameobi), Ben Arfa, Sissoko, Remy (63' Gouffran), Cisse
Subs: Elliot, Marveaux, S Taylor, Dummett
NEWCASTLE 1 FULHAM 0 (Ben Arfa)
Krul, Debuchy, Yanga-Mbiwa, Coloccini, Santon, Ben Arfa, Sissoko, Anita 65' (Cabaye), Marveaux 74' (Remy), Shola Ameobi 65' (Gouffran), Cisse
Subs: Gosling, Elliot, Sammy Ameobi, Dummett
NEWCASTLE 0 WEST HAM 0
Krul, Debuchy, Yanga-Mbiwa, Coloccini, Santon, Ben Arfa, Sissoko, Anita, Marveaux 66' (Sammy Ameobi), Shola Ameobi, Cisse 72'
Subs: Gosling, Bigirimana, Elliot, Vuckic, Dummett
MAN CITY 4 NEWCASTLE 0
Krul, Debuchy, Coloccini, S Taylor, Yanga-Mbiwa, Sissoko, Tiote, Gouffran 45+4' (Dummett), Ben Arfa 65' (Sammy Ameobi), Gutierrez 44' (Anita), Cisse
Subs: Elliot, Marveaux, Shola Ameobi, Obertan
LEAGUE CUP
NEWCASTLE 0 MAN CITY 2 (AET)
Krul, Debuchy, Williamson, Yanga-Mbiwa, Haidara (45 Dummett, 80 Ben Arfa), Anita, Tiote, Gouffran, Sissoko, Shola Ameobi (66 Cabaye), Cisse
Subs: Remy, Elliot, Obertan, Sammy Ameobi
NEWCASTLE 2 LEEDS UTD 0 (Cisse, Gouffran)
Krul, Debuchy, Williamson, Coloccini, Dummett, Gouffran (90' Vuckic), Anita (80' Gosling), Tiote, Marveaux, Sammy Ameobi, Cisse (71' Obertan).
Subs: Ben Arfa, Yanga-Mbiwa, Bigirimana, Alnwick
MORECAMBE 0 NEWCASTLE 2 (Shola Ameobi, Sammy Ameobi)
Elliot, Debuchy, Yanga-Mbiwa, Good, Dummett, Bigirimana, Gosling, Marveaux 88' (Sissoko), Vuckic 46' (Shola Ameobi), Sammy Ameobi, Gouffran 71' (Ben Arfa)
Subs: Santon, Anita, Alnwick, Streete
FA CUP
NEWCASTLE 1 CARDIFF CITY 2 (Cisse)
Elliot, Santon, S Taylor, Yanga-Mbiwa, Haidara, Sissoko (85' Shola Ameobi), Tiote, Anita, Gouffran (63' Obertan), Ben Arfa, Cisse (85' Remy).
Subs: Williamson, Sammy Ameobi, Dummett, Alnwick