After being clocked driving at speeds up to 145mph in rush-hour traffic, the Brazilian has been suspended from the roads for a year and has to pay fines and costs up to €4,500
A court heard how the 29-year-old, who was signed from Turkish side Fenerbahce last summer, failed to stop when pursued by police and switched between lanes on a busy motorway on August 17 2011.
The Brazilian eventually pulled his Maserati up close to Arsenal's training ground after speeding on the A1 and M25 in Hertfordshire.
Santos pleaded guilty to driving without due care and attention at a hearing at Hendon Magistrates' Court, and has been handed a €4,500 fine by the court, including costs.
Santos has only made two appearances for the club so far this season, one in both the Premier League and the League Cup, with Kieran Gibbs impressing in the left-back role.