Christian Eriksen scored in the second half to complete the comeback, and Kane said he was happy with his teammates' resiliency, though he rued a chance to add a late victor.
"Juventus has never been favourites in this tie".
Even more pressing for Tottenham's manager is that Dembele is attracting interest from China, with Beijing Sinobo Guoan said to be preparing a move this month. Maybe they can handle the bright lights of the big Champions League nights. "We have the hope we can win in Wembley". Of course there's always room to improvement. It's not so obvious.
"I can only praise the team". "We need to be more solid to manage the beginning to the game". There are some scary ups and downs in the mood here.
Asked what had happened to his players following Higuain's second goal - a spot kick after Ben Davies had fouled Federico Bernardeschi - Allegri said: "Tottenham reacted".
Basel had its moments against City, especially early on when the visitors looked susceptible to a long ball behind centre backs Vincent Kompany and Nicolas Otamendi. We start, not in a good way.
"We dominated possession and forced them to play deeper and only use the counterattack".
"It's true that we started the game not in a good way, but that showed that we are mature enough to compete in the Champions League".
"Everyone has grown up and they are not going to lie down if they are 2-0 down anyway".
The turning point arrived on the stroke of half-time when Higuain hit the bar from the penalty spot. "If someone thought Juventus could win 4-0 that was not realistic".
The two players previously faced each other when Italy hosted England in a friendly at the same Juventus stadium in Turin in March 2015, a match which saw Kane make his full global debut. "The effort was awesome, fantastic, and I want to congratulate them". "The first minutes were hard but it was awesome how we reacted".
FW Harry Kane, 8 - Headed straight at Buffon from six yards in the first half but went on to score his 15th goal in 12 games, while also forcing a save with a 20-yard snapshot.