After receptions with King Felipe VI and prime minister Pedro Sanchez, La Roja were paraded through the capital city on an open-top bus.
Substitute Mikel Oyarzabal became the 10th Spain player to score at Euro 2024 when he set up and finished in the 86th minute to secure a 2-1 win over England and a record fourth title. It was their 15th goal, the most by any team at a Euros.
"It's hard to put into words how we're all feeling right now... We did well to get back into the game and struggled to build on that," added Kane.
Yamal, 17, and Williams, 22 -- both celebrating birthdays in the days ahead of the final -- have given Spain an exciting cutting edge in attack they have lacked for much of the last decade, pulling the team to a record fourth European Championship triumph.
"Right now, we don't realise what we've done. We'll return to Spain tomorrow and will be able to live this thing with the fans and return love and the warmth they've given us."
Spain won all seven games in Germany en route to lifting the trophy, but England gave them a hard fight in the final, losing 2-1 to a Mikel Oyarzabal goal four minutes from time.
Southgate gave his penultimate press conference of the tournament in the bowels of Berlin's Olympiastadion just over 24 hours before his team will run out seeking to finally win another major trophy to go alongside the 1966 World Cup.
"I've told my mum that if we win I don't want any presents, I just want to celebrate in Madrid with my mates," Lamine, as he prefers to be called, said in an interview with Spain's Marca outlet on Saturday.
It's not yet midday but there is a real buzz inside the local bar, El Cordobes, which is still reeling with excitement after Yamal, who used to come in with his dad, clutching a football, shot home the sublime goal against France that helped propel Spain to Sunday's Euro 2024 final.
In the aftermath of the goal, Bellingham was caught on film mimicking a crotch grab while apparently looking towards the Slovakian bench.
La Roja will meet hosts Germany in the quarter-finals on Friday and sent a message of intent with a polished performance in the drizzling rain including superbly taken goals from Rodri, Fabian Ruiz, Nico Williams and Dani Olmo.
A shockingly one-sided tie in Berlin, where Italy won the 2006 World Cup, led to a dismal last-16 exit after Luciano Spalletti's side had scraped through the group stage by the skin of their teeth.
Murat Yakin's supremely well-drilled side outplayed the flat two-time winners in the last 16 clash in Berlin and will face England or Slovakia in the next round.
In spite of travel chaos that has dogged train routes and journeys to and from stadiums, most notably for England’s opener against Serbia in Gelsenkirchen, the fans have so far been the stars of the show as the big names have struggled to deliver on the field.
Portugal striker Cristiano Ronaldo, playing at a record sixth Euros, is yet to strike in three appearances -- if he manages to, the 39-year-old will become the oldest ever goalscorer at the tournament.
In a statement, his Georgian Dream party said Ivanishvili congratulated the team and pledged the money from his charitable foundation in recognition of what he called a "historic and dream victory".
Georgia face a daunting tie with in-form Spain, after beating Portugal 2-0 in Gelsenkirchen and qualifying from Group F in their first-ever appearance in a major international tournament.
Georgia defended resolutely, countered at pace and fully deserved their victory.
Denmark drew 0-0 with Serbia in Munich on Tuesday but qualified second in the group after the parallel England-Slovenia Group C match finished with the same scoreline.