Harry Kane wants Bayern Munich to bring the same intensity to the second leg of their Champions League semi-final tie, following Tuesday's historic first-leg thriller.

Kane got the scoring going at the Parc des Princes with a 17th-minute fightback, though Bayern found themselves 5-2 down by the 58th minute. 

However, the Bundesliga champions fought back to ensure they are only one goal down at the halfway stage of the tie, with Dayot Upamecano heading Joshua Kimmich's free-kick home before Kane's searching pass assisted Luis Diaz to make it 5-4.

Tuesday's game was the joint highest-scoring semi-final match in European Cup or Champions League history, along with Eintracht Frankfurt's 6-3 win over Rangers in 1959-60.

This is the first-ever Champions League campaign to see two teams score at least 40 goals, with PSG now on 43 and Bayern on 42, and Kane expects the entertainment to continue at the Allianz Arena next week.

"I think you saw two high-level teams out there, especially in the attacking play, the transitions, the speed, the intensity in the one-v-one battles," Kane told Amazon Prime.

"It was two of the top teams going toe to toe. 

"We had moments where we could have killed the game earlier on. We take a lot of pride in the fact that we got it back to 5-4.

"To be 5-2 down away from home is a really tough place to be. But we fought and we clawed, and we're back in the tie.

"Even though there were nine goals scored, I thought there was some amazing defending. 

"You've got the best players in the world going at it, the best attackers, best defenders, sometimes the attackers will come out on top and show their quality, like both teams did.

"If you look at the centre-backs playing in midfield, carrying attacks, playing out wide against wingers, I thought they were outstanding."

PSG scored with all five of their shots on target, marking the first time on record (since 2003-04) that a team has had five or more shots on target and scored with all of them in a Champions League knockout-stage match.

But when asked where Bayern could improve, Kane did not single out their defenders, instead calling for a physical approach across the entire 90 minutes next Wednesday.

"When you come off any game, win or lose, you always feel like there are areas of improvement," he added.

"We had moments where we could have been more clinical with the final pass or finish. As the game went on, we got better and better. 

"We're going to the Allianz, and essentially, it's 1-0. We've got to bring the same intensity, we're at our best when we're physical, in the one-v-one duels, making contact, that's when all our chances came. We need more of that next week.

"It'll be who takes their moment next week. There were a lot of moments out there, it'll probably be the same next week. 

"Us being at home, with the crowd behind us, we hope it can push us over the line."