Tuesday's narrow success was Tottenham's first in the group stage and leaves them three points behind second-placed Inter Milan and six adrift of leaders Barcelona with two fixtures remaining.
They will need to win that game and will have to be more clinical than they were against PSV, who should have been put to bed long before Kane's late heroics.
Tottenham continued to dictate the flow of the game in the opening 20 minutes of the second period, but the closest either side came to a goal was through Pereiro's rising header, which Paulo Gazzaniga - in for the suspended Hugo Lloris - was equal to.
The visiting defense was finally breached when Kane met a lay-off from substitute Fernando Llorente with a left-footed shot into the corner. Until their current fragility subsides, Spurs desperately need that to continue.
If Spurs are to have a chance of qualifying they will surely have to raise their game. Live streaming is available on B/R Live, which you can access with your cable or satellite subscription, either online or through their app.
Priyanka Chopra Throws A Pyjama Bachelorette Party! View Pictures
PeeCee and Nick got engaged in Mumbai and will reportedly get married in a traditional Hindu ceremony this year in Rajasthan. She was joined by her cousin Parineeti Chopra and her future sister-in-law and " Game of Thrones " actor Sophie Turner .
"In one game can happen anything". Donyell Malen nearly curtailed the Tottenham celebrations, but his rocket from the edge of the area was pushed away by Paulo Gazzaniga. Spurs will be without Jan Vertonghen, who is dealing with a hamstring injury.
'The pitch is s***,' said Van Bommel.
FC Porto are in control of Group D after beating Lokomotiv Moscow 4-1.
Seven of Tottenham's 11 top-flight matches so far have been away from home, and their next one is at Crystal Palace's Selhurst Park.
In team news, winger Steven Bergwijn should be fit and is likely to be handed a starting place after missing out two weeks ago.