Tottenham were in danger of conceding more goals, but some crucial saves from goalkeeper Hugo Lloris kept the team level with the reigning champions.
"It is not really the result itself, it is the message that they send to the world of football," Ginola told talkSPORT. "Spurs have been playing great football but they were not showing they were capable of taking European football by storm. Last night, they did.
"The performance was great, the setup was great, tactically they were brilliant. They were not stressed, they played like a very mature team, even with young players. Spurs are going in the right direction."
Both Tottenham and Madrid lead the way with seven points in Group H.