'If we beat Inter we are both on seven points with one to play and we will go to Barcelona trying to win the game.
Tottenham was in danger of heading out of the competition after just four games when they went behind after 61 seconds at Wembley Stadium. However history isn't on PSV's side having last registered their last away in the Champions League back in 2007 against CSKA Moscow, eleven away games have passed since then.
Spurs appeared to be doomed as they trailed for much of the Group B match, but they turned things around late on to capitalise on the Italian side dropping points at home to Barcelona. Tottenham is in third place, three points behind second-place Inter.
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On Spurs" hopes of progressing, Kane added: "We played well against Barcelona here, obviously didn't get the result we wanted, but if we win the next one against Inter Milan it will give us full belief going into that one.
Tottenham have won eight of 11 games in the Premier League to sit fourth in the table.
De Jong had frustrated Tottenham with a late equaliser in the 2-2 draw between the teams last month and once again the PSV captain improved impossible to contain as he rose above three defenders to head home from Gaston Pereiro's corner.
Alli lost another duel with Zoet soon after, this time watching in despair as the Dutch keeper pushed away his low drive. Pochettino's concern will lay elsewhere, with Dele Alli, Christian Eriksen and Son Heung-min failing to reach anywhere near the levels fans have become accustomed to.
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PSV's resistance was finally broken Kane found the bottom-right corner with a left-footed strike following a Fernando Llorente knockdown.
But England captain Kane came to the rescue with a predatory equaliser before heading the crucial last-gasp victor.
"This team is growing up", Tottenham manager Mauricio Pochettino said.
"But I have nothing to say about the fans, I am so happy, so grateful and I understand their reaction, maybe if it was me in the stand I should be the same, but I am so happy".
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"We have the character of never giving up which is so important". It was Tottenham's first win in the group.