England captain Kane acknowledged the fine margins that cost Bayern Munich on the night while insisting the tie remains very much alive heading to Munich.
"You saw two high-level teams in attacking play and transition. Overall, we look at their goals — the penalty was harsh — but we could have killed the game earlier on."
Bayern led 1-0 through Kane's early spot-kick before PSG turned the game, racing into a 5-2 advantage. Goals from defender Dayot Upamecano and Colombian forward Luis Díaz pulled it back to 5-4, giving Kompany's side a foothold they will look to build on at the Allianz Arena.
Kane was generous in his assessment of the defensive effort on a night that produced nine goals between two of Europe's most attack-minded sides.
"I thought there was amazing defending even though there were nine goals. Sometimes the forwards will come out on top but the back line was outstanding today."
The 32-year-old striker was clear-eyed about what Bayern must do differently in the second leg.
"You will always feel there are areas to improve on. We go to the Allianz with nothing to lose — we're at our best when we're intense and physical. It'll be who takes their moments next week. With the crowd behind us, we hope that can push us over the line."
Croatian right-back Josip Stanišić echoed that belief, pointing to the momentum swings that defined the evening and the character Bayern showed when the game looked beyond them.
"There are these little moments in the game where it goes your way and you can create a different game, but it can also go their way and they can come back."
Stanišić paid tribute to PSG while refusing to accept the tie is settled.
"Today, offensively, they were great in some moments. When they had the chance, they took it, which is what world-class players do. For a neutral fan, it was a great game — obviously not so for us — but the way we came back after 5-2 wasn't easy, so I'm incredibly proud of us. It wasn't our best game, but still, we go home knowing anything is possible."
The second leg takes place next week at the Allianz Arena, where 75,000 Bayern supporters will look to play their part in hauling the German champions into the final.