A cagey opening 20 minutes was sparked into life with Gylfi Sigurdsson's opener. Some clever lead up play from Christian Eriksen carved out the opening for the Icelander, who still had some work to do before driving the ball past Chelsea goalkeeper Petr Cech to put the hosts ahead.
Paulinho should've doubled the lead minutes later, but courageous defending from Branislav Ivanovic thwarted the Brazilian.
The game was now heating up and Paulinho again came close just before the break, but his effort went wide of Cech's post.
In a clear sign of Spurs' dominance, Mourinho hooked John Obi Mikel at halftime and threw on Juan Mata.
Right from the off, the second-half was played at breakneck speed. Torres was involved in many of Chelsea's best moments, creating a chance for Oscar before being denied by the feet of Spurs keeper Hugo Lloris.
On 80 minutes, Torres was unlucky to be sent off by ref Mike Dean, who wrongly judged him to lead with his elbow in a clash with Jan Vertonghen.
Sigurdsson almost snatched a late winner with a stunning volley, but it dipped just over the bar.
The match ended with Mourinho and Villas-Boas shaking hands and having a quiet word after a tense lead in.
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