
PSG had looked set to make it five straight Ligue 1 wins to start the campaign thanks to an Edinson Cavani first-half brace either side of Henri Saivet's equaliser.
However, German goalkeeper Trapp, who had already been at fault at the first goal, was caught in possession in the box by Wahbi Khazri with 11 minutes left, allowing the Bordeaux player to snatch a point for his side.
It was a sweet result for the visitors, who had been forced to take the metro earlier in the day when their bus broke down and were reduced to 10 men shortly before their second goal when skipper Saivet was sent off.
And the result denied PSG what would have been a record-equalling 14th successive win in France's top flight.
Ironically, that record is still held by the 2009 Bordeaux side coached by current Paris boss Laurent Blanc, and Les Girondins were the last team to take anything from the capital club in the league back in March.
That day, their 3-2 victory in south-western France was overshadowed by an extraordinary rant by Zlatan Ibrahimovic at the match officials.
And Bordeaux's performance here was overshadowed by the disastrous display by Trapp, who had previously not conceded a goal since signing in the summer from Eintracht Frankfurt to usurp Salvatore Sirigu.
"He is a goalkeeper who takes lots of risks. I ask him to take risks. I hope next time things will turn out better for him, but he won't change his way of playing," said Blanc. AFP