The Three Lions struggled to match their opponents' trademark slick passing, and found themselves being just after the half-hour mark when Valencia attacker Rodrigo Moreno scored after a free-kick.
And Kane was furious that his side were denied a point against Luis Enrique's side.
"Danny stood there, De Gea went up, he caught the ball but as he went down he fell on Danny, no foul or anything, and the ball has dropped".
"So there's a lot of good individual positives for us and for me, as a collective, they gave everything to get back into the game and I have to commend them for that".
Djokovic tops del Potro to win U.S. Open, 14th Slam title
On the other hand, Argentine Juan Martin del Potro reached the final after defending champ and World No 1 Rafael Nadal retired due to knee injury.
"Disappointing to finish that way, I thought we played well - especially second half - and deserved a draw at least".
England were chasing shadows and when Kieran Trippier dived in to foul Marcos Alonso in the 32nd minute, the resulting free kick by Alcantara caught the home defence napping as Rodrigo guided the ball home at the near post.
In front of 49,800 at the St Jakob Park in Basel, Sir Bobby Charlton set about smashing a Swiss defence to pieces - scoring a hat-trick that took his England tally to 30 - setting him joint England top-goalscorer with Tom Finney and Nat Lofthouse; a record he'd break later that year against Wales.
"We are under no illusion that Spain were the better team for long periods", he said.
"Normally we have not got opposing objectives and the clubs would be holding their breath and hiding behind their sofas watching our teams go out. And I'm not sure he was developed, I think he was a outcome of a unique talent.capable and willing to have the ball against any opposition".
Rapper Mac Miller has died at 26
Mac Miller , a rapper and producer who began his rise in the music industry in his late teens, has died , his family tells CNN . He had allegedly wrecked his Mercedes-Benz G Class vehicle by slamming into a utility pole, and fled the scene of the crash.
"I don't think I did too much wrong - it is the referee's decision at the end of the day", he said.
"Your errors sometimes help you, as you try to improve and grow up and all in all I am really happy with David, he is a top player". We have created some good chances against Spain. "The right thing for them - and ultimately the right thing for us - is to give them game time".
Just ahead of him in midfield, Henderson fared reasonably, providing some useful balls over the top to utilise Rashford's pace, but Sky Sports co-commentator Gary Neville was critical of his role in Rodrigo's victor.
"Yeah, a little bit", said Liverpool captain Henderson. We did it a couple of times but at the moment we're still finding our feet in playing out from those areas. I know absolutely what comes with the job so anything that suggests there's a problem with what surrounds the job, and the focus and attention of it, absolutely no problem at all.
Novak Djokovic handles Kei Nishikori to set up delicious Del Potro showdown
But at some point you have to take a decision. "It means the world to me obviously", he added. The 32-year-old Nadal quit during a match for the second time in four Grand Slams this year.
"Going by numbers and performances, he is world's number one".